{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Transform between logos of different types"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Logomaker supports multiple different logo types and allows the user to seamlessly transform\n",
    "from one type of logo to another by using the method [transform_matrix](https://logomaker.readthedocs.io/en/latest/matrix.html#transform-matrix). A matrix is defined by a set of textual\n",
    "characters, a set of numerical positions, and a numerical quantity for every character-position pair. In what\n",
    "follows, we use the symbol $i$ to represent possible positions, and the symbol $c$ (or $c'$)\n",
    "to represent possible characters.\n",
    "\n",
    "Any matrix can be represented as a logo in a straight-forward manner. Given a matrix,\n",
    "a corresponding logo is drawn by stacking  the unique characters on top of one another\n",
    "at each specified position. Each character at each position is drawn with a height given\n",
    "by the value of the corresponding matrix element.\n",
    "\n",
    "Characters with positive heights are stacked on top of one another starting from a baseline value of 0,\n",
    "whereas characters with heights less than zero are stacked below one another starting from the baseline.\n",
    "Logomaker provides the option of flipping characters with negative height upside down and/or darkening\n",
    "the color with which such characters are drawn. Although Logomaker will draw logos corresponding to any user-specified matrix, additional support\n",
    "is provided for matrices of five specific types: counts matrix, probability matrix, weight matrix,\n",
    "saliency matrix, and information matrix. Apart from saliency, each matrix type directly or indirectly\n",
    "represents the marginal statistics of a sequence alignment, and Logomaker can generate any\n",
    "one of these types of matrices from a sequence alignment supplied by the user. These matrices and their allowed transformations are described in detail in this tutorial.\n",
    "\n",
    "The transformations that can be performed are listed below:\n",
    "\n",
    "1. **Center values**:\n",
    "    Subtracts the mean from each row in df. This is common for weight\n",
    "    matrices or energy matrices. To do this, set center_values=True.\n",
    "<br><br>\n",
    "2. **Normalize values**:\n",
    "    Divides each row by the sum of the row. This is needed for probability\n",
    "    matrices. To do this, set normalize_values=True.\n",
    "<br><br>\n",
    "3. **From** $\\rightarrow$ **To transformations**:\n",
    "    Transforms from one type of matrix (e.g. 'counts') to another type\n",
    "    of matrix (e.g. 'information'). To do this, set from_type and to_type\n",
    "    arguments.\n",
    "    \n",
    "<img src=\"table_for_tutorial_3.png\" height=\"600\" width=\"600\" />\n",
    "\n",
    "Using these five 1-step transformations, 2-step transformations\n",
    "are also enabled, e.g., from_type=‘counts' $\\rightarrow$ to_type=‘information'. We show the transform matrix functionality by transforming the CRP logo.\n",
    "\n",
    "We begin by importing useful packages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "plt.ion()\n",
    "\n",
    "import logomaker as lm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CRP logo transformations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A counts matrix represent the number of occurrences of each character at each position within a sequence\n",
    "alignment (although the user can choose to exclude certain characters, e.g., '-' character representing gaps).\n",
    "Specifically, a counts matrix has entries $n_{ic}$ that represent the number of occurrences of character\n",
    "$c$ at position $i$. These $n_{ic}$ values are all required to be greater or equal to zero. Counts logos are\n",
    "assigned character heights corresponding to these $n_{ic}$ values. The y axis of such logos extends from 0 to\n",
    "$N$, where $N$ is the number of sequences in the alignment. Note that, Because certain\n",
    "characters might be excluded when computing $n_{ic}$ from an alignment, it is possible to have\n",
    "$\\sum_c n_{ic} < N$ at some positions.\n",
    "\n",
    "We get the crp counts matrix by running the Logomaker method [get_example_matrix](https://logomaker.readthedocs.io/en/latest/examples_src.html#get-example-matrix) with the argument 'crp_counts_matrix':"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Description of example matrix \"crp_counts_matrix\":\n",
      "# \n",
      "# CRP counts matrix. Created from the CRP binding sites from listed in RegulonDB.\n",
      "# \n",
      "# References\n",
      "# \n",
      "# Salgado H, et al. (2013) RegulonDB v8.0: omics data sets, evolutionary\n",
      "# conservation, regulatory phrases, cross-validated gold standards\n",
      "# and more. Nucl Acids Res. 41(Database issue):D203–13.\n",
      "# \n",
      "# \n",
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>C</th>\n",
       "      <th>G</th>\n",
       "      <th>T</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pos</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>133.0</td>\n",
       "      <td>65.0</td>\n",
       "      <td>72.0</td>\n",
       "      <td>88.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>147.0</td>\n",
       "      <td>46.0</td>\n",
       "      <td>58.0</td>\n",
       "      <td>107.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>166.0</td>\n",
       "      <td>26.0</td>\n",
       "      <td>38.0</td>\n",
       "      <td>128.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>164.0</td>\n",
       "      <td>28.0</td>\n",
       "      <td>43.0</td>\n",
       "      <td>123.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>133.0</td>\n",
       "      <td>45.0</td>\n",
       "      <td>47.0</td>\n",
       "      <td>133.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         A     C     G      T\n",
       "pos                          \n",
       "0    133.0  65.0  72.0   88.0\n",
       "1    147.0  46.0  58.0  107.0\n",
       "2    166.0  26.0  38.0  128.0\n",
       "3    164.0  28.0  43.0  123.0\n",
       "4    133.0  45.0  47.0  133.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts_mat = lm.get_example_matrix('crp_counts_matrix')\n",
    "counts_mat.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can draw this logo using the [Logo](https://logomaker.readthedocs.io/en/latest/Logo.html) class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<logomaker.src.Logo.Logo instance at 0x111b77560>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAACqCAYAAACeYVrZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111b88910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm.Logo(counts_mat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following cells of this notebook show how to apply different Logo transformations to the CRP matrix."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Counts matrix to probability matrix\n",
    "\n",
    "A probability matrix represents the probability of observing each possible character at each possible position\n",
    "within a certain type of sequence. Probability matrix elements are denoted by $p_{ic}$ and can be estimated\n",
    "from a counts matrix via\n",
    "\n",
    "$p_{ic} = \\frac{n_{ic} + \\lambda}{\\sum_{c'} n_{ic'} + C \\lambda}$\n",
    "\n",
    "where $C$ is the number of possible characters and $\\lambda$ is a user-defined pseudocount.\n",
    "A probability logo has heights given by these $p_{ic}$ values. The y axis extends from 0 to 1. The transformation from counts matrix to a probability matrix is shown below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Counts matrix -> Probability matrix\n",
    "prob_mat = lm.transform_matrix(counts_mat, from_type='counts', to_type='probability')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<logomaker.src.Logo.Logo instance at 0x1110e0cf8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAACrCAYAAACkNtLxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114fd9490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm.Logo(prob_mat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Counts matrix to information matrix\n",
    "\n",
    "Information logos were described in the original 1990 paper of Schneider and Stephens ([1](#weblogo1990)),\n",
    "and remain the most popular type of sequence logo. The entries $I_{ic}$ in the corresponding information matrices\n",
    "are given by\n",
    "\n",
    "$I_{ic} = p_{ic} I_i,~~~I_i = \\sum_c p_{ic} \\log_2 \\frac{p_{ic}}{b_{ic}}$\n",
    "\n",
    "The position-dependent (but not character dependent) quantity $I_i$ is called the \"information content\"\n",
    "of site $i$, and the sum of these quantities, $I = \\sum_{i} I_i$, is the information content\n",
    "of the entire matrix. These information values $I_{ic}$  are nonnegative and are said to be in units of\n",
    "'bits' due to the use of $\\log_2$. \n",
    "\n",
    "A information matrix from counts matrix transformation is shown below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Counts matrix -> Information matrix\n",
    "info_mat = lm.transform_matrix(counts_mat, \n",
    "                                      from_type='counts', \n",
    "                                      to_type='information')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A corresponding information logo is drawn using these $I_{ic}$ values as character heights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<logomaker.src.Logo.Logo instance at 0x114cdab48>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAACqCAYAAABvagFUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwWAwGAyGIeK/AdqKjNDTMycCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114fbc9d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm.Logo(info_mat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Information matrix to proability matrix\n",
    "\n",
    "We show how to transform from an information matrix back to probability."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Information matrix -> Probability matrix\n",
    "prob_mat_2 = lm.transform_matrix(info_mat, \n",
    "                                from_type='information', \n",
    "                                to_type='probability')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<logomaker.src.Logo.Logo instance at 0x113bbbb00>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAACrCAYAAACkNtLxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11556d4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm.Logo(prob_mat_2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Counts matrix to weight matrix\n",
    "\n",
    "A weight matrix draws characters with positive values above the x-axis and draw characters with negative\n",
    "values below it. A weight matrix can be used to represent an enrichment logo, where the relative likelihood\n",
    "of observing each character at each position is relative to some user-specified \"background\" model.\n",
    "Such matrices are sometimes referred to as position weight matrices (PWMs) or position-specific\n",
    "scoring matrices (PSSMs). The elements $w_{ic}$ of an enrichment matrix can be computed from a\n",
    "probability matrix (elements $p_{ic}$) and a background matrix\n",
    "(also a probability matrix but denoted $b_{ic}$) using the formula\n",
    "\n",
    "$w_{ic} = \\log_2 \\frac{p_{ic}}{b_{ic}}$\n",
    "\n",
    "This equation can be inverted to give $p_{ic}$:\n",
    "\n",
    "$p_{ic} = \\frac{b_{ic} 2^{w_{ic}}}{ \\sum_{c'} b_{ic'} 2^{w_{ic'}} }$\n",
    "\n",
    "where the denominator is included to explicitly enforce the the requirement that $\\sum_c p_{ic} = 1$ at\n",
    "every $i$. Note that $b_{ic}$ will often not depend on $i$, but it does vary with $i$ in some cases, such as\n",
    "computation of enrichment scores in deep mutational scanning experiments. Enrichment logos have heights given\n",
    "by the $w_{ic}$ values, which can be either positive or negative.\n",
    "\n",
    "The following snippet shows a transformation from counts to weights matrix with a user-specified background."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# create a user specified background\n",
    "gc = .51\n",
    "background = [(1-gc)/2, gc/2, gc/2, (1-gc)/2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Counts matrix -> weight matrix\n",
    "weight_mat = lm.transform_matrix(counts_mat,\n",
    "                                 background=background,            \n",
    "                                 from_type='counts', \n",
    "                                 to_type='weight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<logomaker.src.Logo.Logo instance at 0x114fb1488>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlUAAACqCAYAAACEXbpXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1157cacd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm.Logo(weight_mat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We show how to transform from a weight matrix back to probability."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "prob_mat3 = lm.transform_matrix(weight_mat,           \n",
    "                                 from_type='weight', \n",
    "                                 to_type='probability')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<logomaker.src.Logo.Logo instance at 0x115568518>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAACrCAYAAACkNtLxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115abe710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm.Logo(prob_mat3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Center values transformation\n",
    "\n",
    "The center values transformation subtracts the mean from each row in the input matrix. This is common for weight\n",
    "matrices or energy matrices. To do this, set center_values=True in transform_matrix()."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<logomaker.src.Logo.Logo instance at 0x115549440>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlUAAACqCAYAAACEXbpXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd8FHX+/5+zm94rJIRA6E06AmIDBEUEFEXsKKfn+fXU\nO73zfmf37vS8O0/PeufZC3ZB1FME6aB0Qu8JIaSR3tuW+f3xSZudsptks0lwno/HPiCfmfnsJ5ud\nmde8qyTLMiYmJiYmJiYmJu3D0tkLMDExMTExMTE5GzBFlYmJiYmJiYmJFzBFlYmJiYmJiYmJFzBF\nlYmJiYmJiYmJFzBFlYmJiYmJiYmJFzBFlYmJiYmJiYmJFzBFlYmJiYmJiYmJFzBFlYmJiYmJiYmJ\nFzBFlYmJiYmJiYmJF/DrjDeNi4uTU1JSOuOtTbobtnJw1gESWEPAL6SzV2RiYmLStdm1y7vzjR/v\n3fm6Ibt27SqUZTne3X6dIqpSUlLYuXNnZ7y1SXfAXgNHX4ATr0F1pnJbYBwM+CUMfxj8wzpnfSYm\nJiZdGUny7nzm/RpJkk55sp/p/jPpWtgqYMMVsO9htaACqCuEQ8/AyvFQnOr79ZmYmOiSmwt/+Qtc\ndBGMGAFTp8Izz8CJE529MiWyDJs2we23w8CBEBMDgwbBr34F338vtpuYtAWpMxoqT5gwQTYtVSYq\n6stg/WVQtM2z/S2BMHUF9JzWsevyBFmGklSoPAFYIGY8hPXr7FWZ/BzxtpXCg3tEVRX83//Bxx+D\n3a7ebrXCAw/AX/8Kfp3iH2nm2DG4+mo4eFB/n6lTYckSSEry2bK8Syd8B852JEnaJcvyBLf7maKq\n7Zz31nkUVRepxj+Y/wGTek/qhBV1c3b+Go7/u3XH+IXB9HUQO8H7FxJwfzFxOuDUh8JdWeJiOQsf\nAoPuFi9LJ99JTH4++PiGWlICc+bATz+5n2rGDPjsM4iO9tLaWsn69UJQlZS43zcuDr78Ei64oMOX\n5X1MUeV1PBVVpvuvjeRW5LI1ayvHi4+rXtuyPbS0mDRTvAuO/6f1x9krRexVZ+B0wLbFsPVWtaAC\nqDgKu38Da6dDdY7v12di0sGUlQmrjieCCmD1aiFq6us7dFmabNkCM2d6JqgACgvhiitg9+6OXZfJ\n2YUpqtpIap5+PM/uXPMsbBWyE3beDXSjpyGnXYipjA/c71uwCb4fC+XHOn5dJiY+5NFHYd++1h2z\nfr1wFfqSqipYtEjbNWlEebkQgSYmnmL6JNpIaq6+qDISXCYa5KyAou2dvYrWcewl4fbzlLp8WD8L\nZv4EwQkdty4TEx+xfTu8+mrbjl2+HN56y3ifLw9/SVGNOrxizuA5JIS17hx66KG2B8uXlbXtuLMS\n063olnaLKkmSkoH3gZ4IU8Prsiy/2N55uzq78/StUQfzD1JrryXIL8iHK+rGHHu5s1fQOmrOwIE/\ntf64qpPiuHPb4OY0MelC2O0iU64j74n3rriX7Ips1fiyhcuYP2y+x/Ps3Akvd7NLTLsx+sPoCaOz\nUOB0Bt6wVNmB38myvFuSpHBglyRJP8iyfMgLc3dZjFx8DtnB/jP7OTfp3FbP+/H+j/nzxj+rxif0\nmsAH8z1wNXU3qrMhb1Vnr6J17HtYFCVtC85OCCYxMfEyS5fCnj0dN3+9o56cCu04xFNlHpULauLp\np72xIhMTz2i3qJJlORfIbfh/hSRJh4Ek4KwVVSU1JWSUZhjuk5qX2iZRtS5jHUcKj6jGcytyccpO\nLJKPw+A6OqMu8zO6VSxV+VFIf7uzV2Fi0qm88ELHzp9dno2sc104Veq5qDpxQrgaTUx8hVfv0JIk\npQBjAVX6myRJd0qStFOSpJ0FBQXefFuf40nMVFuD1Xfk7NAcL6sr40RxF6ug5w1yvnO/T0gfSJgJ\n4YM6fj3uaEuGoonJWcS+fbB1a8e+h5E1KrNcoyiwDm+bzz8mPsZrokqSpDBgKfBbWZZVvhFZll+X\nZXmCLMsT4uPdts/p0ngimNoiqmpsNRzIP6C7fWdO96/tpcBpg0KDXGxLIEz5BOamw7RVcMVRmPEj\nJFzquzW2xFEPGe93znubmHQRPmxFfkZbMbJGeWqpkmVRwNMTYmOhRw/P9jUxMcIr2X+SJPkjBNWH\nsiwv88acXRktS9V5vc9jS9aWpp/3ndmHzWHD3+rv8bz7zuzD7tTP+d2Zs5MbR97YusV2ZYp3g6Na\nf/ukt6Hvdc0/SxLET4Gp38OeB+HIcx2/xpacWQP1Hha5aQcH8g+w9NBS1fiAmAHcPOrmDn9/ExMj\nvvii498js0zfGuVpTNXhw3D6tPE+EybAP/8p2upIkjjmrbfgpZfAZmvNik1MBN7I/pOAt4DDsiw/\n3/4ldX1crVB9IvtwUd+LFKKqzlHHkcIjjOw50uN59Vx/nm7vdhRs1N829EFI0RGQkgRjngXJCof/\n0TFr0yLrS5+8zQ9pP/DkhidV46N6jjJFlUmncuoUpKcb75OYCE88ATfdJNrTrFolsu/WrGnF+xgI\np8LqQqpt1YT4hxjOscpN/sugQaLPX2xs89iwYUJkXXstXHaZWU5BhZlV6BZvWKrOB24B9kuS1JgP\n8rAsyx4Ey3Q/KusrOVp4VDE2uudoRvUcpdp3d+7uVokqd+693bm7cTgdWC1Wj+fs0uTriCprMAz/\no/GxkgSj/wZl+u5Sr6O33kYihsKQ+yHyHFE+If1tOLO21W+TXqJ910ovSUeWZaSOSB4wOXvowBvf\nunXG24ODYcUKGD26eezKK2HePBHc/sADHr2NW2tUZlkmQ+OGGu6zcqX+tuhosc6WgqolkyYJUTZz\npruVCqa9N43jRcdV40uuXsLUlKmeTWJyVtDumCpZljfLsizJsjxKluUxDa+zUlAB7M3bq8pKGdVz\nlK6oag3uLFHVtmoOFx5u1ZxdmjKdjqb9FkFgjPvjJQkmvdNcTFOWjV96eHJMbYFoO6NH7ESYlQoD\n7xQuypSbYPoamLYaAnSu3Dqkl2qLqsr6SgqrC1s1l4mJN1m/3nj7228rBVUjkgT33w9/8rC8m5H7\nD9zHVdXWwoYN+tvvvx8GDDBew8SJ8PrrxvsAOGUnW7O2kl2RrXodLjiLrtcmHmG2qWklWvFUo3qO\nYkjsEAKsAW731aOyvlJ1AkYGRqr2O2uC1Z0OqNYJeEi+1vN5gnrA8Ie9syYjCn/U3xacCBd8CVaN\nYq8Jl8D01RDgeQdZPUuVu20mJh2JLBtbqq66Cq6/3niOxx5zv48sy25Flbvthw5BTY32ttBQ+PWv\njdfQyHXXwc1uPO65FbnU2ms1t6WVpHn2RiZnDaaoaiVa1qdRPUfhb/VnePxwxXhqXipO2enxvK4W\nMK2g9B3ZZ0lcVW0eyBpB+dZgiG9lW3g/49gKr1CwWX/b+FchpJf+9ugxIrjeEqC/TwNO2cnJkpO6\n201RZdJZnD4NmQZa5r773M8hSfDii/puN4D8qnxdkdKIO/dgmoGWufJKiPHAEN7I3/9uvN1IOJmi\n6ueHKapaiauoCvILYlCMqJ/k6gKsrK/0uLaUlgVq3pB5xAQrz/6duWeJpapa5+ocfxFYA327Fk8o\n3KI9HtoXkua5Pz52Iox6yu1uuRW51DnqdLebosqkszDqnTd4MEyd6tk8PXrA8wYpTe6sUNA+UTVn\njtvpFYS4eWZLKzYQVQbbTM5OTFHVCursdRwsUMYBndPjnKbA8VE91HFVRo2XW6IVTzU2YSxjEsYo\nxvbk7aHecRa0OqnSuShGGAefdhqVOmJmwC/B08SBIQ9Aj4sNd3EnmkxRZdJZnDLQMXPmtK75gpGw\n8aRkgjvhpZehKEkiq8+bGFmjGpNLTH4+mKKqFRzIP6CqI9VSSLUnWN3VUpUYlkjPsJ6MTRirGK93\n1BsWCPU6HRX8XaVzUQzt6/3fob046qH2jPa2xNmez2OxQsothru4FVU6QewmJh1NRob+tku9WI9X\nKwhdQnK7T0v0LFV9+rTO9ecJRqKqylbFmSqda4fJWYkpqlqBXjyV1v+bjslzL6pKakpUbsKxiUJM\nuYoqOEviqqp1LopdUVTVZKPZnzAgFqI1Up2McPM4b1qqTLoqepYqPz+48ELvvY+WFco1XjWrPMuw\nULKeqHKX8dcW3Ln4TBfgzwtTVLUCrWy+0QnNN9WeYT3pEarsdZCam+rW/Lsrd5dqbExP4fZzdf+B\nQQagJHn31ZF0J0uVXpZi/AXg5QbX7ixRp8tOnx3uX5Nuh56lqk8f93FHrUHL/TcpaZLiZ4fsILci\nV/P4+nr9Sur9+7d7eSrcBaObweo/L0xR1Qq0LFUjeyiLe47uqbRcFNUUcbrcuFeCluWp0VI1JG4I\nQX7KVP2zorK6nlDpTqIqzPuPve4sUTKyx73PTEy8iZ6oSknx7vu4iqr4kHgGxgx0u1/T+Clw6iRd\ne1tUldaWUlxTbLiPaan6eWGKKg+xO+3sPbNXMZYUnkRsiDI3uC1xVVoZfY1uPz+Ln2rOA/kHqLHp\nFGHpLtgr1GPWkFYXyvQJugKwj9ffyhP3nukCNPE1djtkZWlv6+vl5yBX919yZDLJkcmq/fQeLowC\n6r3t/vNEMJmWqp8XpqjykCOFR1S1U1q6/hppi6hytVRFBEbQL7pf08+NrsBGHLKDPXl76NZolQ0I\n7dvxbse2oOeqDPGuqKq2VZNXmacYiwqKUu1niioTX5OdDQ6H9jZviqrK+kqV5ad3RG96R/RW7auX\nAVhZqT+/ty1VnggmU1S5oTuFrXiAN3r//SzQKo3gcDpYsm+JYkzrhmdUWf1M5RmVe3BMwhgsLWJ1\nGl2BLdmZs5Pzks9TDnanZpcOjeJ+gV3QSgU+s1RpFf28qO9FfH30a8WYKapMfI2R9ceb7j8t61Ny\nRLKmqNJz/+lVUgfo109/W1vQslQF+QUpHsBN99/PC1NUeYiWtWll2kpWphl07TQ4thGtoHPXjD/N\nDMDuHlfl1LBUWXSKfpYdgo1zjecb9TT0ddP/oq1U6/g9vGyp0hJLF/XREFVmWQUTH1Naqr/Nm5Yq\nLeuTnqVKT1TVGhRjj/a8W5RHaFmhpiRPYe3J5kbqBdUFVNRVEB4Y7t03N+mSmO4/D/GkNIIeORU5\nnKnUrlXiiaga2XOkwnKld1y3QlNU6bRxcdaL4ptGL5tGjJa3sGv4E6xBEBjn1bfRElVD44bSM7Sn\n2/1MTDoSI6HiVUuVhlBKjkgmyC+IuBDl+abn/tOzVPn5gcXLdzxXURXkF6TKVNTaz+Ts5Wdhqfpg\n7wc8v1XdF2Fkj5G8P/99t8c7ZWe7Y5hS81KZNXCWalwzSN3F3RfiH8KQ2CEcLmxuuHyk8Ej3ffqR\nneC0qcc96I3XKWgJwJA+Xvffa4mllKgU+kb1VRQQbKzSLHWB+AGTnwd1+p2T6GXQ9rK1aLr/GoLU\nkyOSKawuVOyrdR7oCcAgjX7n7cXVtZcSlUL/aHXgVlpxmmZ5HJOzj5+FqPrk4CeaouhA/gFevvxl\nIoMiDY9PL0mnvK68XWvYnbtbJapkWdYsp/DvHf/G3+KvGKu2VSuPRWZ37m4uTjFue9Il0RJUAJYu\n+nXUCqrvgPgvLbde36i+pESlsD17e9NYeV05xTXFqsxTE5OOQk+oWCwQ4MVnocxybfdf478t41Or\nbFWa54GepSrQyy1F6+x1ZJUrQwNSolJIiUpR7Wtaqn4+dNG7mPeotdey7uQ6zW12p501J9dw9bCr\nDefwtNVMa+fIrsjWbGHw313/9WjOnTk7u6eochGMTRhUSO5UWhP/VZEGO+4ynm/IbyBJ3fzM1VIV\nGxxLWEAYKZEpmvuaosrEV+iJKm8KKtC2VCWFJwHCUuVKZlmm6jzQy73xtmH3ZOlJZJdOC/2i+tEv\nSh0Nbwar/3w460XVhowN1Nj100FWHF/RaaKqve1mum2wumQRwsrVYuXsopXCtTIV9VyV9ko4s9p4\nvj4LVEOyLKtEVeMTb98odSRwekk65yada/w+JiZewmeiyiWmqkdoDwL9xAOMXrC6a7iEnpvPyIXZ\nFrSEUr+ofiRHJiMhKQSXaakyoDtlrXvAWS+qVpxY4Xa7u/gUrZIIN4+6mcSwRN1j3tj9BqW1zSkz\nJ0tPUlJTQnRwc/pJe4PNu3WwuiWwe4gqWda2VFm960vIq8xT1UFrFFNa7gQzWN3El+iJKm+61GwO\nGzkVOYqxltYpTwuABgdrz28UbN8WtIRSSlQKAdYAekf0VpTKMUXVz4efvajKrsjmQP4BRvYcqbld\nlmVNK9MLl71g6H7Ze2Yvq9JWKcb25O1hWr9pTT+319KUVpJGcU0xMcFebrvuC6xB6qw6LfHS2cg6\nLklJx4XZRjSD1Bvcfn0jtS1VJiZnE9kV2ThlZX+ZltYpTwuA6okqm020r/FWBqCmpaqhaHNKVIpC\nVGWWZVLvqCfA2kWTcUy8hle+XpIkvS1JUr4kSQe8MZ+3SC9J51jRMcXY+MTxqv2MhFdWeZYi4wS0\n29O4MqqHcWV1WZa9YmnalaNuxtwt0IpJqjPuodU56J0iOs3F2ohe5h/ouP/MWlUmPkTPpVbvReOy\nXuFPrf83HaNRgsEoy6/Ci5VX9CxVgKIjBogMcrNn588Db1XteBdQ1wvoZFYcV4ulhy54iLCAMOV+\nBqJKy/Wn1Z7Gk31azpVekk5JbYliu4REsF+w7ss1IxC6cVyVVePKV53Z9XzlFitIVvW4l12VWqKq\nUUyFBYQRGxzrdn/grGv5YNI18EWckl7hz0aSIpJU27VElZ6lCuCkumlBmzlRfELxc8vzVCtY3XV/\nk7MTr7j/ZFneKElSijfm8iauYskqWZnRfwYX972Yb49/2zS+OXMz5XXlRARGqObQcv2N7umBqNLY\np+VcWlaq68+5no+u+Uh3zm+Pfcucj5VZY902rspf/VljrwRbKQS4lD0O7gVjW9QZO/wPqFX2yOtQ\nrEFgr1KOObwsqjQsTy1jqVKiUiiqKWr6ObMsE5vDhr/Vu25IExMtfGKp0ir82SKOKsgviPiQeAqq\nC5rGtIRYSIj+e6SnwxgvlItyOB2cLFUqtH5R/Zpic1tVVsHbDy9d7cH0Z4bPKqpLknSnJEk7JUna\nWVBQ4P6AdlJrr1W0CgCYmDSRyKBIZvSfoRi3O+2sSV+jOU9bRdWQuCEqy9KRwiNU1Yubs5aFaVzi\nOMM5tXoAdltLVYjalA9AlYaJPKgHDL2/+eXlSuZu0XJV+sJS1SKWytUF6JSduhWlTUy8jV5AutPp\nPWGl5R5zjaNy/Tm/Kp8amzK7u49B96g0L8WLZ1dkU+/yYNVSSJllFX6++ExUybL8uizLE2RZnhAf\nH9/h77fx1EZVKYVGMeUqqkDfBdhW91+ANYDh8cMVYzIy+87sAzxrT+NKYlgiPUJ7KMayyrPIq/Sh\n1cZb6PXNq+qCQkEr089RpR5rB66iKiooSlGUVq9WlYmJLzCKU8rN9c57aBX+dI2j8iRY3ahtTrqX\nThm9cgpNazALgHY+nRQKcdZm/2nFUzWKqRHxI+gZ2lNReFOrtIJTdvLKf9XNdAf9aRh4YGH9bxLk\nKcO3SL4/GYfTwa5cdYC5liWqJZIkMTZhrKqJ886cncwZrC4m2aUJ1RFV1V1QVGlZqqqzvTZ9ja1G\nlUruelE2yyqYdCZGoiojwztNlbUsVb3ClT1w9AqADokb0vRzcDAkJUG2xinqNVFlEKQOIv7Lz+KH\nvUVB464uqsxwAu9w9ooqF8tTiH8Ik3tPBoQ4uaT/JXy0vzl+Kas8i4MFBzmnxzlNYxbJwpVH276G\nSVr33YjeHC44TGW9spxA38i+HpVGOGtEVbeyVGncUWrPiLgqVYq0pKwYr9eSpwUZpRmqMVcRpVcA\n1MTEF0QadPI65YWkNlmWVRannqE9mwp/NqJXANSVAQO0RZW33H9G5RQA/Cx+JEckK+Ku0kvSccpO\nLJLPHEQqHE4HPf4eQ3GNOtP6rX0f8Iuxv+iEVZ1deKukwsfAFmCIJElZkiTd7o1528rJkpMcLVKq\noYv7XqyoETKjn4YLUMO61RG0JZ6qkbMmrkovpqr8sPZ4ZxLYQ2NQhhqNq3b0KLiuvvkVpS6t4Yq7\neCrQsVRplVWQZf2XHm05xuRnhZFLLSOj/fMXVheqwjW0in16WgB0wADt98nIgMpK7W2tQcvq5BpH\n5VpWodZeS26Fhq/Uh+fsrtxdmoIKUD2sd3s66Vrorey/G7wxj7fQio9yjaO6pP8lmsc9eP6DHbau\nRs65/Fbe7qkcG1HwJVzv3m87PQTeHqwci6j7Dm704gJ9gZ77r2Cj6AHYlZor6wnA6tMQpg5IbS1G\nNaoaMQuAtp8Xtr7Ao2sfVY33j+7P3rv2GnZV8DXLDi/jxW0vqsZTolJ476r3fL6epCSwWsHhUG/z\nhqjSsjZpWaVaY6nSwuGA1avhqqtav8aWuHP/gU6wekmaZmkIX7HyhL5w+iHtBxxOB1aLRgkZE4/p\nQncu76Elqi7ppxRRfSL7MDh2sKI46ObMzVTUVRAeGN6h6xuXK15tIa4aFu9p/XF/2/SMyuUI8IuS\ndPpH92/bYtpDUKKo/yS7XKVt5VC8E+Im+35NeuiKKnW8XVvwRFRFBkUSFRSlaH3U7UWVj1PJP9z/\nIVU2dYLB/vz97Mnb4zam0Zf8e8e/2Xhqo2p846mNPHrhowyKHeTT9fj5Qe/e2q4+b7j/tKxNtfZa\nvj76tWIsq1x9zmllwfY3uKT973+tE1U2G/i38OjLsqxy/0UHRSsSS0AnWL04jYv6XuT5m3uZ79O+\n191WUlvCjpwdTWEyrWFv3l4+W/2wajwxPJF7Wj1b9+asE1VapRQAFi1fpPJlu2bN2Zw21pxcw1VD\nW5xxZ0Gzx6OFR3lozUOa2/wsfjw59UnfLghEUc2Q3tolFE5/0bVEVaiBpcoLaLnxtCxTfSP7KkRV\naW2pqp+kiTYnik8Y1nT75MAnXUZU5Vbkal7DGvlo/0c8MfUJH65IkJKiLaC8YanSEkbfn/ie70/o\ni4BGWmOpAli2DF58EUJDPVvbU0/Bn/7U/HNxTTFldWWKfVxdfaBvqeosSmtL2Za1zXCflSdWtklU\n/XvHv3l99+uqcatk5YZzbnDbgeRsovMi5nR4Y9cbvLTtJdUru9yzbKtNpzZRbatWje87s489eXsU\nr/K6ctV+voqr8iXLDi9r07YORy/eKP1tsKv/hp1GsNrlAHhPVGlYnByyg7TiNMVL68LU7a1VPuKz\ng58Zbz/0GXIXeRj69OCnyAbpxR8d+KhT1qqX4ZeZCdXtPF21hJGnZJVn4XAqLd4jRiitSy0pKYE3\n3/Rs7lWr4OWXlWOeuP70xjpTVK1JX4PD1TPgQlviqhxOB8uPLtfeJjtU1saznS5lqdqdu5s7/3en\n5rYzlWd4+pKn3c7hroGyJ8e7llbo7iw9vFR32/78/RwvOu5zdwIA8RdC9jfq8foSOPYSDP+j79ek\nhZ77r6QNflgXZFnWFEbnvnGuR8enl6Qzvpe6n6WJkk8Pfmq4PaM0g+3Z25nUe5KPVqRPy6xkLY4V\nHWN37m6f/931gtXtdti0CS67rO1zt0dU2Z12citzFfFWoaFwwQWwbp32Mf/4B1x/PfTsqb0d4OhR\nWLRI7XjQyvxLK07j96t+rxhraVU2OtZXaAmmqSlTWZ+xvunnbdnbWm39/vH0j+RX5etuX3ZkGYvH\nLm7VWrszXcpS9eZu/ceHd/a8o6j5oUd7RdXp8tMcKjjUrjncYpRh4OXMhIzSDM2aWC0xEl0dSvyF\n+tv2PQK5P/huLUbouf+Kt6vb17SS/Kp8Tcuqp3RrS5WPzoEjhUeaiu42olWCxJ3w8gXHi46rsnln\nD5qt2s+d8OoIjDIAf2jnqdre7gBaMVmXXqq/f04OzJ0LVTqn77FjMG0anDmj3qZlbdp7Zi/PbXlO\n8Xor9S2PjvUFsiyrXKlDYodwy6hbFGNO2cnq9NWtmnvpIeP7x6q0VZpeobOVLiOqqm3VhheK3Mpc\nt/71jNIMjhQeUYwFWANICk/SfUUFRanmaa8w60p8efhL1ZifS2Zdp7kAo8eBVaf7qeyEn66D7G+b\nb5hOGxz5F5R3sOh1JSBWu1aV0wYFm9s1dXtFUbcWVT7i0wNqsfSHKX9gRPwIxdhnBz/DKTt9tSxN\nPj7wsWrsj+f/kVE9la7yTw5+onJ5dTRGBT6//dZYC7vytYtHSEsUtQYtS5c7y9mOHXDNNUJANVJY\nCP/6F0ycqF8pvj3CqLimWNOC1dEcKTzC6XJluML0ftNVCVzQOhegLMssO6K8f7jeX+od9Xx3/LtW\nrLZ702VE1dJDS1XBf64YWbJAOx7qjrF3kPVAlu7r6+vV/t6zSVS5WqGigqK4bfRtirEdOTs6p4+c\nNQDiztPfXl8CG+fAN/1h1WRY1gNSHxCCy5dIkr4LMNM4Vscd7RZVWrWqTJqQZVllgYoPiWdK8hTm\nD52vGM+uyOan0z/5cnkKZFlWPVgmhCUwJXkKC4YtUIznVORoZgd2JAMH6m87cgQ2bPBsnjNn4He/\na/65qr5K0Sy8LWhdv0aPhh5aJeZasHIlDBki9h0/Hnr1ggcegDKDW1F7XXid4QLUEkrT+02nb1Rf\nVfb3yrSVHsfs7cjZocrIvOfce1TCqtO8IZ1AlxFVb6YqBVNUUBQ3nKMsf/W/Y//TLp7WgJYYmjlg\npuH7Tuo9iVB/ZRrIplObqKircLfkLk9uRa7qJnH5wMuZP2y+al8ti5ZP6OVBJfiqDCjaBjbfP+E1\nEaXT2v7Ux1Df9nWZlqqO5UD+AQ4XKgvKXjnkSqwWqzLLtwEtq5avSM1LVRUtvnro1VgtVq4Zfo1q\nf1+7AJOTjZsVv/SS+zlkGe67D4pb1J/0xgOdlqXLYhFxU56wbx/s3i3KJ7ijvS68znABanl5pqVM\nA2B6ynTFeFZ5lschMFquv5tG3cTFfS9WjH13/Lt2hTl0J7qEqDpWdEz11LVw+EJuH6sszO6QHby/\n933NOersdao0ZItkafri6BFgDWBqylTFmM1pM0xp7i4sP7JclUU0d/BcpvebToh/iGK8054kkhe4\n36crEH/C1lsWAAAgAElEQVS+9rijBg7/o83TttfSdKr0lEexhj9XtOKkGh8qxiWOo0+kUiV8cfgL\nn7vVGtESSQuGi/NjePxwhsUNU2z74vAX1NnrfLI2EAbbaQaX0y+/hE/daNI//xk+czHutidI3d0c\nd9zR7qkVaPXpbC2+tlTV2GrYcEppRhyTMKYpm3h6v+mqYzxxAWq5/hLDEhmXOI65g+cqxqtt1axK\nW9XapXdLuoSoejv1bdXYzaNuZmrKVJLCldVn30p9S9M0uSlzk6qw38SkiaqCbFq4VluHs8MF6CqU\nrJKVWQNnEeQXpPqdN2duVtXt8gmhydBT7dfvcsTpiCqAQ89A9v+0t7kxo7fX0uSQHZwu805ph7MN\nLddfeEB4UxyJJElcNURprcqrzPO5Ww1EWrprPFV8SDwX9m1O5rhmmNJaVVpb6lEdJ28ydarx9l/8\nAvbuVY/LsohVevJJ9TZvWKr05hg5EqarNUOb8YZl2NeWqk2Zm6i11yrGWlqnpvVTK2VPRNX+/P2c\nKD6hGJszeA4WyaKZCPJzcQF2uqiyOWy8t1fZdiElKoXz+5yP1WLlxpHK/ivHi4+zKXOTap7AaTN5\nYj2K12N/3yoer9y85s+6X3XsmD/9t0N+X19RVF2kSJUFuKDPBU2psq5PEjIyXx35ylfLUzLo153z\nvq0hejRYQ/S3b7kFcr5vEVTvgKMvQflBw2m9cZHuCi7AigpxM928GdasgRUrRDuQTZvgwAERR+Pr\n0kqpeamqi/7sQbMVTXq1XOGdkQW4KXOTygIyf+h8RWxKo9WqJR8d8K0L0MhSBaJe1eWXw2uvie9E\ndTUsXw4zZohYJS3aG6QOwlKlFwf0qLozUZvxhiDytajSak3Tsk1bQlgCw+OHK7ZvPLWRGluN62EK\ntBKcGu8rA2IGqCyr3xz9hnpHvcfr7q50ep2q745/p7KQ3Dzy5qbq5zePuplnf3pWsf3N3W+qSv1f\nmClebaFvGTy5vm3HdlW+Pvq1qtBbSyF1xaArVMcsPbyUX034VYevTUXSPBGzVNqOuk8d3SvQ4g+x\nEyF/vfZ2WylsuBzCB0NwIpQdhjr92i0gqv97WtTWiPSSdC7Bd9a+rCz45hvYvh1OnIDjx7VTz10J\nChLBzuefL266HY1WfJRrcPoFfS4gNjhWESi99PBSXpn9iirYtiP5cN+HqjHXOKpRPUcxMGagQih+\nffRryuvKiQiM6PA1gsgA7N8f0g10fG4u/N//iZcnaLnu4kPiVSEKLcmuyFa4vSvrKympLSEmOEa1\n77RpcOON8JEX9Kc3XHe+dv+5tqaxSlYu7KMsZzM9ZboijqrWXsuGUxuYNXCW7ryulqcgvyCFWJs7\neK4inrGsroy1J9caznk20OmiyjVAHeCW0c21M0b1HMWonqMUdWY+P/Q5L13+kmY5BBOBlql17pBm\nUZUYnsiEXhMUrTvWZayjuKZY88LUoVisMOFlWG1Qt8qI6HHQx8OI1PaQOEtfVDVScUy8POBU6SlV\nzJtFshjeTGwOG3UOZRyNryxVO3bAE08IK5QWyckwfLgQTmFhYqy2FoqKIDtbZIgdOAD5+R0vqrRc\nfyC+467taiICIxSiqrC6kLUn13LpgBaFjjqwT2GdvY4vDn+h2uWPq//IY+seU4wVVSuz5GrttSw/\nspxFoxd5d30GXHst/P3v3ptPy3W3/PrlTEmeonvM5Dcnsy1b2XIlsyxT99r18suiEKhemQQjApsN\nm16xMmWVZ1Fnr1NYTDuK02XquosTkyaq+ttO7zedV3a8ohhbeWKlrgA6VnSMA/kHFGMz+s9QXLvm\nDpnLP35SxpsuPbTUFFUdSXZ5tqp+xcSkiQyOHawYu3nkzfzhzB+afq611/Lx/o/5v3NbPAq58y10\nkz593qC8rpwf0pXV+AbHDlZ9rnMHz1XcYOxOO98c/YZbx9zqk3UqiL8A+t4Ep9RP7IaED4aLvgY/\nnXpX3iT5GtjrvSrvWmJo9qDZfHODRpX5Br468hVXfaqMA/JFWYU1a+CKK6DOJS7az0+kx999t3Fm\nWCN5eSLLqqPZlr1N0wLy312eufU/OfCJUlR1YA/Q7098r1m7KDUv1aPjP9r/kU9F1U03eVdUaf2d\nkiN0Spg0bo9MVomqU6WnGJOgnaUbEwNvvQWz1XVUDQkIgA9bXJK0RNULl71g2Dfyl9/8kmNFzQ9a\nMjInS08yNG5o6xbTBrSCw3Mqcpj/qdJiW1lfqdrPKK7KyPXXyOTek4kJjqG4pjnVc/nR5bzmfA2r\nxep27R2FLMt0ZL+UThVV7+19T1Vsr6CqgLkfK/84JTUlqmPfTH1TKapMmvj22Lcq33VCWALv7nlX\nMaaV4rr08NLOEVUA41+Asv1Qus/9vgARw2D6GuFu8wXhAyHmXCje4X5fD9ASVSmRKYbHaPUT62hL\n1f79MG+eWlCBaEx7992ez5WQ0PobW1tob2mEL498yWtzXiPAGuClFenT3rio1emrOVN5hp5hBj1X\nvMjIkTB5Mmzd2v657E67ygVukSwkhhuf073D1f043WURXn65yE689VZhQXVHcLBwGV7SwrOu5bq7\nYvAVDIzRL+I1LG6YQlQ1zuMLUeXq+gPxOXmScXm48DCZZZmqDFnQ9oQUVhfyTuo7irE+kX0Uoqqw\nupBNmZtUGfe+wik7Wfj5QpY+qd4W4h/Cj3l7dIW5p3SaqHLKTs2sv5OlJzlZetLt8btzd5Oam9pl\nOst3JVzTXEEEHnqS1bQqbRUVdRUq87BPCIyD6Wth7Qz38VWJs2DyexDkprqftxl4J2zvQFGlIZpa\n0jdKXda6o0XVd99pN8yNivI8bsaXOGUnnx/6vF1zlNaWsiptlWYWkzepqKtod8NZh+zg80Ofc8/E\ne7y0Kvf89ree14AyIqciRxX72Su8l9t4tuRItSXLkyzChQtFXNhVVwmrqR7Dh4vSDyNaFN13OB1k\nlGYo9pOQNEVHS/pF9VONeeJGLKgqIN7tXvrYnfZWt5xxZeWJlfxy/C8VY6dKT6lc6ACPrH3EozmX\nHlrqkagqrinm4W9+pQp3AJh98HOuHXGtR+/Xkqc3Pq2bhVhtq+bKT65k5y93Eh/a9k++00TVhowN\n7fZPv5X6Fq8kvuJ+x58R1bbqdrUEqHPU8d3x77junOu8uKpWEBgLl6yDoy/C8X8rg70lC8RdAIPv\nEfWtOqPpdd8bYP/jUNOG4AwXtNx27kRVVFAUkYGRiu4Dja0vOirGMFnHE1NeLgKWBwzokLdtMz9m\n/kh2hdL6MSZhDHdP0DepHSo4xAvbXlCMfXrw0w4XVcuPLFelu98y6hbemqfuG9fI7tzdTH5rsmLs\no/0f+VRUXXMNjB0LqZ55KHXRyvxz5/rT28fTeleTJsHJk/DVV/Duu7B+vbBchYSIoPb58+GWW4Tr\nryWny09jcyqrg/aO6O3WmtkvWkNUuQlWTy9JZ/p70zn1pPb2Z3/6J7+f8nvtjQ3syN7R7pY4K9PU\nourLI+0rFP3lkS958fIXm5LRtCirLeOyJZdpijeA9/e+jyRJmhmxeiw/spzH1z+uGHt6+tO8sfuN\nJrGcWZbJgs8X8MMtP7TZSt1pokorQH1CrwmEB+hbSLZkbVFcgJbsW8KzM58l2N8H8TTdhJUnVra7\ncu3Sw0s7XlR5Ioj8gKFAFFANHHNC5UZAw+Lmq9g4v1AY9TRs+0Xbjg+IFlY22mapatxn7xllMaCT\nJSc7zGp7/fUiOH3JEuW40yme+L/5xrjZrq/RClD/xZhfqG4OLamsr+Q/O/+jeCr+6shX1NprCfLT\n6PsI4KgT1f71OPk+WAJEf0u/cAiIgsB4COopWjSh7fpbOGIh/lZ/3WknJk0kJSpFYTXZkrWF9JJ0\nVcuRjsLPTyQbTJ7cvlNPM55KwwrlSu8IDfefm9IM+VX5XP/F9cqG1ReB9UKIJZLXrnyRBSPUlesb\n0RJCWoJJtU8rLVUnik8w7b1pivYv01Km8dPpn5q+nw/+8CA2h42HLnxId57W9PDTY3X6auxOu8Jy\n2N56U9kV2WzP3s7k3pM1t1fWVzL7o9kKQTUsbhg3nHNDkyhyyk5uWHoDgdZARQKWHgfyD3DLl8rm\n0deNuI6HLniImf1ncv7b5zcJ5o2nNvKbFb/hP3P+06bfr1NElcPpUJW3jwyMZNPiTfoXMODW5bcq\nKqqX1ZWx7PAybhp1U4ettbuh5fobET/C0J2XmpuquJl8d/w7amw1HStWPQn8tQMtE0y6SlJBv1vh\n2MtQ0srHdIs/TPkEQvsiy7JXRVV6SXqHiSqLBd55R5REeOst5Z/hwAHRO+2KK0SphMbsv9CGzk+u\n2X+pqaKBbXstHHo4nA6+OKTOpNNqSdOSsIAwLh1wKd8ca04SqKivYMXxFc21rMqPiLZEBT9C5Qmo\nPi36UH7iD2EDRcydf5QQUdYgKN4phJe9UvSxrMuHmhxIuBQmv0t+VT4/pCkTSiICI5jZ37i1liRJ\nLBi2gH9u+adi/JMDn/DwhQ8bHutNJk6EX/8aXmmDs+Cqhj+HlsvOI0tVK91/u3J2cdWnVymEyjXD\nrmHtybWU1JZQRSXXfrGAR848wp+n/VnTiuJa8wy0BZMrWue01lwARwuPMu29aeRWNlvCrxh0Bcuu\nW8YPaT9w1adXNZWSeHjtw9icNh6/+HHNubQKw359/dec0+Mc3bUuWr6IzZnNTeLL6srYlrWN8/uI\n4sd5lXn8mPmj4phQ/1BVw++WFNcUq9ovLTu8TFNUVduqmfvxXEV7taTwJL6/+Xv6RPahsr6yKaPQ\n7rSz4PMFfHPDN8qkEheKqouY9/E8RTD+4NjBvDH3DSRJ4tykc3n+sue5d8W9Tdtf2/UaoxNGc9eE\nu3Tn1aNTRFVRTZHKT3rdiOsMBRUIs7hrm5o3U980RVUD9Y56vjmqzBzzt/jz4y9+NKwsv+CzBYqn\njypbFavSVnHl0Cs7bK3dGskCE16FNdPA6WGbEMkPzv8CEsXJX1hdqMq4CQsI86icRWcEq/v5wRtv\nwO9/LwTW8uVwtOE6WV8vWpR86aFXwF2T2/aw4dQGzlQpi2ZNTJrokfVj/tD5ClEFwuo1f9h82P8E\nHPwryC1aAvmFwrgXIeUmIaIacTrAYWAtlp3gqGdXzi5V2YCL+17sUar9DSNv0Mx+8zVPPSUKvGpV\nUddj6lT4T4MRoK3uv4SwBCySRZHodKbqjKZl8f2973PnN3cq7jl/u+Rv/OH8P3Cs6BiXf3h5Uxzv\n05ueZk/eHpZcvUTlTteyLnkiqrSsWSdLT+JwOhRZcIcKDjH9vemK7++0lGl8fu3nBFgDuGLwFXx4\n9YfcsPSGpt/7ifVPYHPY+PO0PyO1sP4X1xQrLXIIw8XsQbMNM+8uG3CZQlSBsHg1iiqt1me3jLrF\n0KpzqvQUKS+mKMaWHl7K32f8XbHmOnsd8z+dryhaHRkY2SSoAJ6Z8Qw5lTks2SfM5vWOeq785EpW\n3LRCM07L7rRz3RfXqeK0Z/SbwYf7m9M6rZKVpPAkRdjAvSvuZXj8cFVNTHd4RVRJkjQLeBGwAm/K\nsvw3o/0LqwtVY56kBE9LmUav8F6KysPrM9ZzoviEYfbFz4U16WsUsTYAF6dc7LZVz9zBc1Um3aWH\nl5qiyoi48+DC5bDpSnC6qRJsDYbzPoTe85qG9KxUkgdu0c4QVY0MGQJ/+5t4lZdDWpoo/nnihPh/\nRYXIEqyrA39/UeMnOhri44WLcOBAGKX/UNtuBkQPYM1NK6DiKFRng62MJKsM238lLEYBMeAfAX4h\ngCReDVaJa6219L3oF8IUJzsAB0EpN4uf099VCiqA0H7Q93qloALhEtzUwjJWcVwtvse/wuWDf83l\ngy7X/2UMSjWMSxzHxsW+b6fjSmSkiEm64gr46Se3uzNjhggAb4xXaqv7z8/iR6/wXgrLEwhrVWPp\nGJvDxoM/PMiL215U7LN4zGJGJ4xuco89OfVJ7ltxX9O189vj3zLxjYl8df1XDItvrgquKao8cP+F\nBYQRFxKnuO/VO+rJrshuEgv7zuxjxvszKKguUBxbUV/B7I+U6bIRgRGKWKmnNj1FvaOev834W9P1\nY3X6alVm/bR+09yWMrik3yWq2mgr01by52l/BrRdf/OGzFONtaRvVF9Vrcn0knT2ntnblGlX76jn\n2s+vVZWAqHfUc+kHSiuUa6/TWnstcz6aw6pbVqkeUn6/6vesOblGtaZ/7/y34Zob32fBZwvY8csd\nmglCerRbVEmSZAVeBWYCWcAOSZK+lmVZt831wJiBfP0bZcZL38i+jRNqHyTLWC1Wdt+5mxq7snx+\nXEhc23+Bswit2iHzBht/4UHURpKQFE8g3xwTLQV8kVLebek1Cy5YBtvvgFqdVKL4i+Dc/0Cksg1E\nW11/0OJcaTmfD2pVuRIRIYKVx45rfZ0mWRYtbbZuFa7B3FwhyKqqRFbhuCdlevQQbsSgIOGCBLB+\n2Xy8JIm4rsbXuHEwKPw4fVMXgr1C+YZDHoBxzwvrUktyvoMK4YoJk+1MD3OxEpWvBWkWzNoFex+G\nUx+BvaHHaNkB+G4k9LkOIkc0uP8iRDujaauEMLNXCYFVfsSTj7RbEhUFq1aJTNCPPwa7Rn9vq1XU\nM3v6aWH1bKSt7r/G/fREVWF1IQs/X8i6jHXN6wyKYmDMQPbn72d//n7FcYNiB1FZX8mRQvF3Ol58\nnElvTuKD+R80PVxqxlR5YKlq3M/VmJBWnEafyD6k5qYy84OZigK05/Q4p6lHpSuje46mtLZU0d7t\nHz/9A5vTxnOXPockSZquP735WjKh1wTCAsIUVvQd2TsorC7EIllYd3KdYv9Q/1DN3oGuzB08VyGq\nQNyvxiSMwe60c9OymxRWYotk4YHJDxh2Cvjq6Ffsyt0FCO/K5R9ezppFa5jQawIA76S+oxLUN4+6\nmTvH3ak7Z1FNETcuvbFJYxRUF3DVp1exefFm3WNc8YalaiJwQpbldABJkj4BrgR0RVWANcD4BmIF\nwhtWZwVkoDoL/ELpGRrf9GTZaqxACBCI6HpYD9gqwN8L5QNCG+auAxy16qfXthDYMK8FqAWcdt12\nLLIsc6jwEINiBinGVUF8TgfYSsBWLiwo/hHEh8Yzf9h89p9RXmhSc1MZFDtIdTGIDor2KOW0zl6n\nehJt/NsfLzquMiMPihnkkaUmtyKXinrlTTMxLNHjMhAOLFQQThWh1BKEf6a4ecfEtCGhMOkKmJch\nYm0yPoTaXBFX03Ma9J4P0WM1Jy2vK1f9rcYnjlfuZK8RfydHtXAZWQPBL5RBMQNVx4L4DticNqpt\n1VTbqqmqr6LaVo3NacMpO5nYYt9aAps+g52bdxMeaiUy2kFkaDChAaGE+IcQ4h9CkF+QYZYOAP4N\nr4CGf62AE6jKFOeBX6hKzEgSlFnSqQmxY4sAuQ6kQAiz9icgwA+nU/UuCort2dQ6hLhxOMApwxBb\nL0iYAXOOQf4GEfdUWwD1xcJytWURhCQJ4WMJavi7WBquJ7LI6CzeLs4LSxD4h0GQqJd0sroC24Df\nQ8p9omJ+1SlSKCWgKkOIq+Id4u9krwFHTUNfUStYg8kikuqoi8T3wj8KguLpHTMJg06SzQQCwQ2f\nLYAD8TsFROteC7TOrYExA93/HRExM+V15YqxnqE9sVqsqt6EYQFh9ArvBYjz5/33RVHQt96CH36A\nwkLh6p12aTVTZmXRpw+kNxjSQ/xD6B3Rm0C/QNV3WVWioL5UiFNHrfidLYEQEM34xPGqa1NZbRk5\nFTnctvw2ssqzmuaOD43ng/kfGAbyO2Unj697nM8OftY09ofVf6DKVsWNI2/Ez+KnWuuAGM9SXyf3\nnqzKxCuuKeZU6Snu+vYuYoJjmlz/ieGJLF24VGEsqKwUDx319WCzCZGaYpnCkmOvYgkUAuB/x/5H\nSlQK9026j4zSDNVatWL1ZFlYnMvKxINJWJg/C4Yu5McsZX/dXTm7sDltqs9vWso0zbCd6moxb3W1\nsErOSLqaz2I+U+zTKLKe2fQMe/P2Ktb74JQHVYklNTXic6iqEmud3/tu7ly9gML6ZpfdPd/dw9KF\nS6mx1/D81ucVc/aJ7MPrc15XxArb7c3rrKuDPsHw7JR3eWHfY0gWcQ5V1VfxzOZnVL+jHpJeE0qP\nJ5CkBcAsWZbvaPj5FmCSLMv3uOx3J3AnQGxs7Ph77hGbewbmMTA0jR4B+UT5lxLtX0K4X4VhkeIa\nZzAV9nDKbJEU1ceyu2wsBfXqQI1Iv1L6BGeSHHya5OAsegaewSKpf986ZwDltgjy63uQV5vAqZo+\nZNX0xom+qdRfsjE8/BBjI1NJDj6NVVLeBcpt4Zyp60lmTR8OVw6lsN69CPGT7AwMPcHw8EMMDj1G\nkFXpMnDKEiW2aArq4smo6Uta1QDN31v9OZQxIvwA50QcJDEwV/XZVjuCKayLI7u2F2lVA8moScEu\niwt2Lrm8zuu0LEEbJ8dxN3cjualLu5GNrJOUTzZT5CnMZCZv8ibZkjLtfZG8iH4YP/nJyLzAC5RL\nygv/vfK9xKCOR5Jlifz8HuTk9CI7uxc5OUnk5/fA4VDfkKxWO5GRZfTokU+vXtkMGJBOr145qv1a\n8uSf/qQ9/sQThse5YsFBv5AMegXlkBCUR2JgLtH+JZrngUO2UGUPpdgWQ0F9HDm1vThd04fCem2L\nrc3mR25uL7KyksjO7k1WVm/Ky7VcwjKhoVXExRWSmJhLSkoG/fqlExAgsmJ6B2WREnKSuIAiov1L\niPIvJdxPiNsyWyRVjlBssj92p/hsrZKDCL9y4gKLcMoStc4gqu0hFNbH8UnO9aSTzlKWUi01xx+l\nyCnMYQ5+Bs97RzjCSlYitziXJ8mTuJRLsXjQI76yMpSjR4dQWhpFTU0w9fWB+PnZCAmpITZW/O49\ne55RfPZFFLGWtRySmp8Vo+VoxjMeq8F1IptsDkgHFMdMZzojGKE6fyL9ShkcdoweAQXEBRYSF1BI\nuJ+60jWI62CtM4gyW6S4JtTHkV2bxNHKobzDO2RKSgvQTfJNDMR9iMTLvEyxVKwYu0u+ix704BjH\n+JEfOS2dblgEDGYwscTqzmfHzkEONv2NQ+QQzuVcJjKREA1ZGeFXTr+QkyQE5pIYlEdCYJ7qOthI\nrSOQMnskhfVx5Nf14HRNb07XJGOTja3r3jpnO2LO6uoQ0tIGkJubQGlpNKWlUQ3fU30J7udnIzy8\ngqioUhIScrn00h9095VliezsXpw4MYgTJwaSk9MLWVaeM1arnejoEpKSsklJyWDIkCMEBxtXSy0s\njCM9vR8nT/YnIyOF2lp1klNQUA1xcYUkJWXRv/9J+vdPw8/PoTEb1NcHNFyzk5pe2tcsCAmpIja2\niISEPPr2PcWAAWkEBanXa7dbyc7uTV5eAnl5CeTmJlJQEI/TqT5/LRYHYWGVxMcXNMybwUcf3bJL\nluUJhh8EPhRVLZkwYYK885unYc//g1KXCEf/KNGyJHaSKAbpHymecp31omnt3kfUjWonvQ39Fzf/\nXLIH9j0KOd+2/RcLHwxzjqrHK9LgyLPCMmErV2/XI2oMDP2diMFwfcKsyRWfRdZytdvC7byjYdCv\nYaBGunjWV3D471C4FWjF39k/CvrdAsP+ACG9uXHpjXx84GPFLh9e/SE3jrxRd4qy2jL6vdiPktrm\navjRQdGk3ZdGdHA0b+5+k19+o1zzbWNu450r33GdSsG6k+uY/v50xdjFfS9m/W3rFWO1tfD66/DC\nC6ImTVtITIQcY03V/vZHThsceR6Ovdi+2ldBCTBfefzp0/Dss/Dmm+Ipry385z9w100nhIszf4Ny\nY4+pMPoZ0XuxpZu4aIfIcgMo2g6H/qo8LrAHXC2CcTPLMrnms2tU9WgCrYGq7FOn7FRZUUL8Q3hj\n7huG30UQ7sWlS+GLL0RgtTtLWGIiLFggXFrDmsNq2J69nT/88Ac2nGr+LCIDI3nkwkcY0UNUiqyx\n1fDPLf9ka1ZzyfH4kHgeu+gx7ppwl7pcQuFW2PcInFmrXoglQFyLwgY0xIEhrOsVR0WsVksCYuEa\nUdX6F18rS37cPOpmPpj/geHvvD17O5PenKQYG584np13Kv82W05v4dmfnuWro181xe1M7j2Zxy96\nvMki88LWF3hj9xtNbpQB0QN44LwHWDxmsXZWcflR2PsQZH/dEM/WRsa9CEPuM96nI1qWtXPOTZvg\nr38VblTX76bFAqNHwznniPjEqCgRr1hXByUloojpiRMicSQwEEo1SlPl5sLjj4sEk0J1SLMhAQHw\n3nvqYq81NeL68vrrwoXfWnr1Uh+Xni6sne+/71nVey2eew4eeKD554ICsc633xaZyG0hLAwqKyWP\nRJU33H/ZQEsneO+GMX3qi2HDHHXg54hHYMTjygu0LCsDgQ//Uy2qWnL837D7t+Jm5UpwLxHjEj1G\nuABkp0h1PrMW8pUWFRwaf9G8tfDjAnFMayndA1tvAdmmFIB5q+GnG6Culd/0pnn3wsE/K0WV0wGp\nD8Cxl9o2p61UlAyIGgUD7uCp6U/xxaEvFIXvHlj5gCJ7wpUzlWcUggrgjxf8kejgaACuP+d67l95\nv8J3v/TQUl6d/aphQ+EP9qlvDLePvV3x8969oiv9IR0HdFCQSAefMEFcpECYlU+fFhemvXu140K8\njr0KVl8EJRrN8BJnQa8rIGaCaMfjFwbIYCuDkx9A6v2GU7/7Ltx7r/i9tLBaRQzSgAGi6GFNDRQX\ni6Dzkydd7gVF2yBfIyi6740Qp1FrpjoTyhq601uDYeRflNv9wpr+2yeyD5sXb+bX3/2at1KbC14G\n+wfz+bWfM6P/DEBUOF/w2QJF0OnAmIEsW7iMkT1H6n4O1dVw//1CWLoTUi3JzRVNeD/9FM60SCac\nmDSR9bet57vj3/HH1X9kf/5+yurKeHjtw9w1/i7OSz6Ph9c83OT2DvUP5YHzHuDBKQ9qu6dzV2pf\nC7CIPIcAACAASURBVBMvh+EPiYQILTdf9v9go3Z9nmtHXMt939+nOLe+PPwlVVdUERoQqnkMiAKi\nriwes1g1dl7yeSy7bhnHi47z3JbneG/ve2zN2srsj2ZzfvL57M/f3yR+JyZN5MEpD3L1sKv13Y+n\nl8GWm9TXXP8oSLlZfMdiJoh2VJZAsV9t3lkTq7ZkCSxerL7mREbCP/4hxH2MBz3u7XY4fFg9/t57\n8JvfCBdfW6ivVzei3rIFrrtOXDPbSoWL/eDVV+HBB/UfAMPDYcoUkewSEiJEV0mJSJDZv1/7Wrd8\nOdxxh7aYCggQ94HJk0VsaHS00MbV1eL3PXECtm+HXbta93t5Q1TtAAZJktQPIaauB4wfG6tOCUHT\nkh4Xw6in1PsW74RVE9XjWhT8BDvvQWWViRgOE/8rLGBahA9SiyrV3JthwyxtsdYaWt6tCrfAxnki\nBkML/0hhDQiME59XTba4wdncnB27fwvHDYrHBMaJ39kaKuaqOGpodesf3Z9fjf+Voov5maozrarc\n3juiN/dNan6CDAsIY+Hwhby9p7lVUUV9Bee9dZ5hAdjduUoBEhkYqaiqW1wMs2Zpt6AYMEBcpObM\nUVdLbklVlWggvEadNOJddv9WLagkP7joK+il0yAvMBZCjTNRPvlEXKS1mDQJHnlEpLWH63zMRUWw\nbp0QFEFBiJIB4UOE1TN/ffMDwI47If1tccMLGyBueo2FLuOmCKHgqAZbJdQXieOqs2GMshtvoF8g\nb857k8m9J3PPd/dQ56ijtLaUyz+8nFcuf4VL+l/CnI/mKGrdzBk8hyXzlxhmtqaliay0oxoGZ0/R\nMzTMHjSbWQNn8f7e93l/7/vU11nYdiCfH7evIcp+GZEOPwZED+COc2+lV3Qs+Vlgi26+cANQfgx+\nXKgWVAmXwsXfqq0fxbvE5wfiuqhDWEAY1w6/lnf2NFt9GwN5jUp2tLS+gbAWGlkAB8UO4rU5r/HM\nJc8QHdI4r7KGEfI21XEKqjJh2+1qQRV3vjgPAjVci9ZACIgU37NuzoYNsGiR9vfsyy9FhXdP8fMT\nfRlb8vzzIkFAD4sFLrwQxowRiSfV1eLauXeveCjVehBZsUJU1NcTP336wNy5ItOzRw/xHmVl4nxM\nTRXHu1qo3n8f7tHxbc2eDY8+KgSQVcfTbrfDzp3CEt2zoQXmoUPi4VprnTfcAP/8p7CWuaOiQtwL\n5s93vy94QVTJsmyXJOkeYCUiRPVtWZYPGh4kNUaytqC2QDvAO3wQXOCmgmvMeGGd2flrVIIqMA5m\nbhaBnW2ltgB+vE5fUIX1hwF3CsuOf7iwZBXvhiPP6bvznDbYvEBbUMWMh+EPC0uF1SUbKfNzcSHW\nI/NzfUHVez70vx0SL1M+/Tod8N1wEYCrw+MXP857e99TBYhP6DUBq6T8ph8tOqoKynzy4idVAY23\nj7tdIaoAVYaIO24ceaPCnfCb32gLqsGDYds2YTp3R2ioaCA8z33iZNs5sw7S1F0FGHyftqDK+BBK\nG2JzDP5OpaWiL5sWixeLWlN6F6ZGYmPF0/GCBq16suQkqzNSIfhS6HspgY5KBgb6MSU6USSQOKqF\naKrJFuews14Ef0t+lNlrSSvLpd4STL01mFprOGRu4VKNrNQ7xt3B6J6jueazazhdfhq7085d395F\niH9IU5cAi2ThyYuf5NGLHjVMaigqgunTIdOgHVxICFx6KSQlCf1SVCSKmR48qG/VKi2F778XWYv7\n9lnIzr6NvLzbKHd5JrFYIC0YvncKN03jfH5+4kL+z3/CtSP/p/0wM+IRbXfSob/Dac96Gi4es1gh\nqgA2ZW7S2Vubq4Ze1WRZNsKTfXTZebewjLfEEgiT31ULqrpiOPHf5p9r298qqrPZt09bUDW2zGkP\nP/2kL6giIuAvfxHWpkYR4kpurih/8VILh0dtLfzyl9pCJS5OuALdiQ9Zho0bhfUYID9fWJO1uP9+\nIQzd4ecnLE6TGwzndXX6gmr2bNEo21PCw5uL1XqCV+pUybL8HeC52SJ8EASXNsddAJQfEmbw0X8V\nT76NpuKAKEi+WnueuiIRXxDaV4gJrSa8Qx/UFlSH/iae/EDcGIw4/qpyrY34R4mTP2me+iKYNBcy\nP4VyDXssQNaX2nMmXAoXfa0WU55yTEdQjf0XDNW521qsotq3AfGh8fzuvN/x5IYnFeP3nHsPt465\ntennkpoSVaG34fHDuW3Mbao5pyRPYVjcMA4X6nxGHnDHuDua/r9pk7qVSiN//7tngspnFOk8wffV\naQ90eqn4zrjhoYeU7qpGYmNFfJk7QaW5pKi+bMrcpHC9Ski8feXbXDPsdt3jimqKuOT9SxTlI5LC\nk9hw2wO6x5ybdC67f7WbV7e9Qlx9Fj3tBQTKtQTKNuxYSYkbwfDk0VB2sMHaqn2e3HGHvqAaMAD+\n3/8TN5QIjYztoiLxPXrllWaXSW0tPPywGLO5PFudc464gI8b1xz3EtLCgy3L4mk3P1+4S44fF019\ndR/0qnQWPuQ30Nvg6t7igfTCvhcyKGYQx4uP6+/vBi3Xn9cp0EhVj5siylO4UlcA+3xXMd4XzJ4t\nCqjmu0S0VFeL8Ucfbfvcf/2r9nh8vChnMniw8fGJieIh9Z57mtf32mva8VNBQbB6tYj9cockwcUX\nixcIl19xsXq/Xr3EZ9AWvvtOvyDtiy9qj3uLzun9Zw2Gmd+LgO+MJc0xSmfWwKpJIt4p5lzRJ6vR\nzOu0iSfiukIR0FuZLmKrBt4l6gDpiZcEnZYPBZs9D2Q/9bF6TLLC1BXaMSWecFyjAq0lAM5b0nZB\nVX4UCjRiX5Kv0RdUreB3U37Hf3b+R1Hx96lNT3HzqJubiso9v+V5VTDxX6f/Vbfo3O1jb+f3Pygb\ngw6IHqBqe1BaW6qoOQMwNmEs4xLHNf28fbv2uiMiWvekoaItjZuNjpFlRVyRgjqNqwtAv0UieUOP\nhvm++UZ78513agsIT7BIFt658h1sThufHPgEEFmYi79azOKvPL/xJoQlsPbWtfpp6PVlkPM/4nJX\n8kTpKqjVUIeVqyGj4apoCRAlK3pME9/xWBFDumaNiKXQ4txzYeXK5lg6LWJjxc3k7rubn2inTxdx\nJK5cfbVwt/obPJNIkvjsIyJEPEiTBcJxo3CfugqL1PshdiJEuNz14s8XLw+5bcxtPLL2EcVYTHAM\nPUOVpol6R72qsGVyRDIzBxi3y/EK1iB1OENDqQwVATHiIdmImPHG27sYAwYIq83Mmer4pMcegx07\nYOFC8f1LTNSfJydHWFj37xdB2vv2wbc6t7cXX3QvqFpitYr3rqqCZ3QqC9x0k2eCSosNG7THb7tN\n+XDSGk7pNBcIDRXnYEfSaQ2VCU2G8S/BuBdEfEDpPhFrVZXR8DoFFceQHfXISCD5g18IloAI4dJL\nmgOhKaIuDYjtWrjGKzQSO7nBDalDUEOpgqKd2u6W/re3XVCVHRaxKa4kzoIgjdILdcXNbsJ6nZsu\nwInXtcf736E93krCAsJ47KLHuGdFs/P7RPEJluxbwq1jbqWkpoSXtiuD489PPt+wMvui0Yt4aM1D\niiD48MBwll2nLGT6/JbnVaLKNUC9TqdjTGAbNWoj139+XVNRwEbeverdpmrARlz1yVWKxreSJPFp\n0TEGJ82DfY+pXR8HnhCtbFyDeo0sFC3Qcn2CiHNoD1aLlQ/mf4DNYVNVVf7deb9TVDKutddy74p7\nKa5p/q72CO3B2kVrm6pdqzj5PqQ+aJyE4oqzXlj8irbB4b/Buf+FgXfyoU7+RGioyAA0ElQt8feH\nWxuMsCU6uSlRUcpilq3CGggXfgVrL1Fa2esKYcUo6HOtiKmMHC4yAP3CxPfCUSOs9DU54kGq7CAU\nbYUpH0No8x960ehFPLbuMUVl7SGxQ/jpdmXp84/2f8RNy5StvhaNXuRRXat2k3yNSC5qSdF2kcDT\neG1vJCgexv6j49fkY4YMEYLo3Xfhww+FkGp0F3/9tXiBCFZvzP4LCGjO/jtzRli2QAS3P/CAyHbT\nIj5exEO1hTVr1Ba1Ru5zk3BphN655el5qoVerFRVlRCgnsRStZXOE1WNSBaIncjBvIns2S9iGvY3\n/Hv6tDq2ISBABL+lpMDQoSKD68orISFap5ls5qcQe656/BwP7aqndJyvyW38ZoK2yRtEZWYttt4K\nOf9zP2/21+qxgBj1xQmEsGsZm1Wh3eDTlTvH38m/tv5L8WT71KanuGnUTZpWqr/NMOxYRHxoPPOG\nzFPcqPfk7eFA/gFF48/GXk+NBPkFqXo+tkx9b0lBgcjgGN/Gh9iFIxZyzWfKv/cT65/gq+u/Mjzu\nqyNf8dVR5T7zhsxrFhYT/yti9VpStF38XcY+5zYgHQB7tSh1EH8h+IeRkKBtntd7cmsNfhY/Pr7m\nYxZ8voCvjzZ/195OfZvFYxYzoscIHE4H13x2jUJQxQbHsvqW1YqWH03IsgjYN8pUDR8i4hatwSJj\nsjJNFPZUzWWnrg6WqRsLAOI6kexZsW4VP/4oyit8pqxfyNtvCzfjokUig2joUH2RVVMDWVnN7r8R\nI4DAGFGt/dQnkP6OSJiRHaKtTcYS8fIUlwfI3hG9mdl/ZlM7FoAtWVs4WXJS0V5FK4tXy13fIYx5\nVmRfu2bxbb0VJr0LiR5ay2zlIozDpXNBdyE8XGTr3nuvcIXt2yeycDMyxL85p+uw2Itx2O2UVoZR\nVh2Bf4CV5GQRZN67N/TrJ9zPIISZFgsXGifpGKGX6RcY2L7WUykp4vd1ZbdGUrSnzJ4trIBp6iL4\nPPggug9e3qBTRVV9vaiD88YbQql7ekxWlnht3iyC3QICYPHiWcLVl+dS+Oz4qzDgDogY2rZF5miE\nivmFiSdIVyqOix5jjVTp3Mn0nsbDW2GT1UKrVUr0OO2UbEeNqATdSvyt/jw1/SluWHpD09iJ4hO8\nvO1llZVq7uC5XNBHJ+OyBXeMu0Nl/Viyb0mTIDuYf5DUvFTF9muGXaNqeHrllXDeedpumt//Htau\nbZsn7+phVzO592RF3aGvj37Nv7b8yzBI97ktzyl+tkpWnrmkhf28z0JxI9j3qDJh4fRSUbMsciTE\njBP/+keIxdurxd+56pSw7pYfEq7xeafAP4x585qb1bbkjTdEvFVbXYCN+Fv9+fzaz5n/6fym7M+S\n2hIuW3IZP/7iR/6y8S8KIRkdFM0Pt/ygX/bg+Kvagso/UgRs974awjXchSvGasZQbtyonzp+ww3a\n454QEyOyIf/yF+FiFYHqQsCuXi1eIARVWJh4hYaKau+1tSLAvTHl299fBPSOGNEwuWSBlBvFy1Yp\nsnHLjzb8ewxbdQn2uhqcdhsO2R+sgUgBUQSGxxEQ1Vv0IIw6R1juXVg8ZrFCVIGwTD1ykXALFlYX\nqvqtXdjnQt/1UvULgfM/h81XK+tu1eTA+ktF+5/YycKtF9JHCGtnXYOIyhTHlKSK2oR9roMprRCh\nXZSYGJh6YT1TB/0A/7+9846Potze+DO76T2EhAABAqEXIYAIiCBdEUT8ib0AXrGiXrtX8Xq9V8Wu\nWFBU9F5FAQtWqiK9l9ARQk1oCQnpbZOd3x9Plm3vO1tDNjjfz2c/wOzuZMjuzJz3nOc8J+tb4PjP\nbASxRQkColrTbiVpEO99cdZzzNECwUJqqvfHVSUZcapV+naHhx4C7hRIM+fOBZ56yruALSqKgdOA\nAc5WFV99BSQnA//6F1/nCrNZHqSKqLegau9edldlChacYWFse+/Th9mF5s0ZDVdW8oKZlcV2yU2b\nOMzzHL3f5ywu2+GlNRXA0v5At3/RV0fUomuhIoer/uwfWJoMTRDrOhr1tvfSsmAqcm3NYDkmEb6M\ntjFXc2CsIyHaw5S94YYuN+D1ta+fm7sEAI8uedRuNIZTAKHBiLQRaBHTAllF1qXQ7J2z8dLQl2BQ\nDE5ZKsC59Aew42rWLGYMHI3jli9n0PXuu7UiYRecPk0jvttu479fGfYKBn0+yO41jyyRC65F3NH9\nDnROdFhJd3yktgQyAzjyhbV5Qa1h0CBqvnDCOhT4pZfYiu1YBszL48Xrk0+8E6vbEmIMwffXf4+r\n51x97oZ8vPg4un/Y3W6gd2xoLJbctgTpTSVZ5JpKNow4EpYMDFslFiu7QCZONxiAkSM93p0T7ds7\nd1SVlPD3feoUSxkmk1XMHhTE61lUFG+WiYnWNnMRReVRWLGmF7Zt64Vt27ha1+pgjIkBOnemSH7o\nUGq8bLmm4zWID4u384ybvXP2uaDqm93fOA2onZRubxxa58R1Ba7cARz4EMicYS+3KNzNx6FP5e+/\nkKg8A2Q8xYWVozTAFrWaAWXxAWuFIrYLNcbtH5B+v3zxN23eXLzd8v1PTvZuv5MmMdBxtLAxm5lZ\n++EHZoDdobKSmb6mTWkf88EHLE063g/efBP47DPaPvTty/MnLo7nZWkpg9KDB6nTXbWK29zFZ0d1\nb0hP762Wl28W+seMGcMLf5Lr6SsAGD2Xldl0dp1cAqy7lZ0iTihATAeK4EPiAagsJ5Rl8ctZesT6\n0mtOUig/NxhONg0p44DLBDWG/C3AYheGq30+pc3CVoFwfMgyzoxz5PRy7Q7FoEigxThgXoSzRUPy\nSGCw83BNFB+gP4wWnZ7kbDsBvx/6HcO+EJQVa5nYYyJmjZ0lfd6Rf/7xT7yw8gX7n3H77xicOhip\n76TaDV5Ni0/DgSkHpC31X39NYbbIDC44mCXjyy6jaDk+nhea0lIG6/v3MwO6fTtbjW0d1cd8PQa/\n7HejDCsgPCgcB6YcQPMYyZXJQvkpZqAKtgMFO2AuPwNTRRlqTFWoUUOgGMOghDdGeHwyDNFtmIFt\n1ItdsrXMnevsfmzh4outPlWxknjb4lM1Zw4XNxMmSA7VVI7RX4/G8iPLnZ6LDonGolsXoW+Khu7w\nwAy21DvSewbQ7h75+wBxpqr3+5j23X14+mnnlyckeO4kfT45fpzDhr/4Qm7Y6grZ//GBBQ/g/U3v\n223bdvc29EjugQGzBmBNltVbKiokCqcePaVpEirEny7lJUf4/T+bwT+LD3DBaLm2GUKZuQ1NBCJa\nsAs0vjszWiJNqr+O1Zs0txaOPy9nFbD2Bt8mKwTHAtcVoHNnsRHoXXcxS+oN2dkUeYu0q88/D/gw\n5QeHDtHYU9S5HBQEjB9Psf6gQSzrGQz89RUWMjGzfTsrEb/+Sud4W0f1zEwe37ffynW3rjjfjuoe\nc/SoWJyWlsYLuSeK/5AQhxpx0xHAqN0c/ZE5w6GzRGXt3i0XXq0TyMdAVJCmBwCcXCQOqppc7t5+\nQxOZErelaDe/fY4XhOh2wDBBp6CbDG0zFMPbDMfSQ85zpsKCwvDC4BcE75IzKX0S/rPqP3ai2i93\nfAmDYnCaZD8pfZKmR9FNN3GV8uyzwDff2Kd/TSaWB0UlQldMGzoNCw4ssDvG/i36Y9519kKb7/Z+\nh4cWPWS37cFLHnQdUAGoMiZj3f5kLFs2Ar//zpWSYws/wOAwLY2rrGHDGPxYgqQbbuBi4777nG/Q\nmzaxE9JopBbD0VE9M5M6Dsv1fpg8bkZ4cDh+v90Hh1Rbz6Fz/7EYumg7UnoU2HSvzb8POb9Gg3pY\nO7rNnDnA3XfDyesKYJarb1/ecNLTuXhUFKvgNjOT/mta5YmJPSY6BVWzd8xGfFg81mbZi9bHdx7v\neUDlb6JS+Wghac4I5A/TW/K3AiuukvsaBsfy3hCaiHPDv/M2SCdxDBggDqrmzWP3X7hgUpArUlIY\nlL0ncO2ZMYOZcG9ta9q0oZb6nnucNZHV1Vwof13bhK8o1sqVO1+Ftm1pkfL228yGZWTQhHTbNrnw\nHmBc0aEDr5ODBzOj5g71kqkyGnurZrOzI/D06RTq+Q1zDVC4k1++M+spAq7MqV31VLL7xhjBckNE\nCuvT8T2ApIEUxgLAt/HOadikQcDQ5c4/r6pQ3NVnS3w6f96PLZy1VeHNgbHHnDu/3GX9RODw587b\nh64Eki7zbp8aHC88iSUbjmFvRgz274pG0dlglJcaYa4ORUJUNKKjmYZt3Zp18V69tDU9I74YYRek\nxYTGYHT70XbjM4yKEcf+fgzNot1r38jKooPvpk103N21y/UImuRklp5HjeLNzpaJP07E5xmf221b\nd+e6cxkZs2pGtxndsCfXOiOnUXgjHHzwoJMGzJZTp9hCPXu2d3P6UlKchaTZ2TSZ/Phja3eQp8yY\nwQtdnfBtrLP5ZdJgYKhgBl7BLmChfBwNAKD3+5i16j6hPsNg4O/VW5FuXbFjB79rohX0bbexi0tm\nzmhLcTFX6mMljbbdP+xuZ6ybEpOCe3vf62S5sHLCSlzWyotrRaDN06uLrFJdZapUM/BLezZgOBKf\nTm1hs6uc5SEnFgErrrTfVpupOnCAJTORie0nn4g1TO5w6hQDINE16pJLuIh1pxmktJQZdVGgsmsX\nR9asXi13dZfRpAmvWZoGpMUH2CyWtxEVhbmoLi9GTU0NqtVwqMZoqGHNENqoJaKad4Ehoec5PzlF\nCeBMleyc8Pd3FgYjg6T4HjgRcTe+28T67NGjXJUXF3OVnpDAL2CvXhxx0i8V1ln3YU2cg6r8zWL3\n95BYIEVuH2BH2t+cB82WH6ctgqvSh4y2d4uDqiP/81tQVVYGfPopf4+bNzdFUZGGeYoDQUH8/cq8\nlO5Mv9MuqCqqLHKaR3ZluyulAdXSg0udOpkGthqIyZMnYfJk/ru8nCuivDye2OXlXPWcrc7GLyc/\nRmRiHsJimN45GZcK4Hm7/b1w+QuYs2sOKqqtRfrnlz+PRbeyxDpv9zy7gAoAnh7wtGZANW8eL3Le\nln0AcaCYksLV2bRp1OasX8+sxvr1Yp2OorDs3qkTNQaDBzPlXmdUCyK9IA/S1AJkF3Szmf5UY8Tj\n8uqFykr6+4gCqquv5ugOd4mOlgdUALNVf19sta3OLsrGK2vsxwW1a9ROHlB5e3F25dfWkHA83rJs\nishzVwNn1sgbkywERbLpJKEPheXVpdx2YqE4oEq6nF6IXmht27XjRATHblWApbHu3SmDcAfL6Jo2\nbbjgfOYZsSnphg1svrj2Wn5/R4ywCsGrq6lRyshgie7nn9nEIQqquna1NtuUlLBze/eWHJw+ehrG\n6jwUloajqCIeRTWtEBMXipQU3r+7d9fQXuVt4oSTnBV2DV3C32wpgDwAlr6J2G5AivvjNeolUxUf\n31stKHDOVHXowF96mA96bVsKCqhR+OYbtkS7G/G2bEl7/IcfBrD1UeBPgU/+wJ/pleUtpceAn9s4\nT2Q3BAM9pzNA0rwgmdmKvPdVoO//gPBaleDC7tTk2KFw1E8LN4cXVZcBhXvOmSla+OwztqO6mvRt\nEUmKft/NmzODIqKyuhLN32yOvHL5D5h/w3xc01FcFth+ajt6fGTvHdU+oT3+fMD18LeXVr3ktGp/\ntN+jeH3E606vfXzJ43h9nf32tZPW4pKUS9D1g652DvEtY1ti/wP7ERokNsv66CO26otOQ6ORafwx\nYxjcJNbKRYqKrHO0FixgibBJE3nHDwCWCU7/wUfRPpirimA2lcKshsBsiATCkhAc2wrG+FrNYVx3\ncTOGP/mxhbNWMLYLMErQlVpTYR3TIyOyFaoMiWjShOe+Izfd5Nl4irpGS/t28CBvYv4itzQXzd9s\nbucH58iLQ17EPy6TOJb7fcUL7zVM9ZWpsmAqArY/zTFTZklLnDtYplysuMq5y1wxsqM3QkMyoJGp\nAngv7dlT/OsKDWVH9C23yK1odu9mafqjj9g5bDtK5o03gCeecH1PDQvj/UCUKY+OFpe8z1F61Gor\nIpLsGIKB2K7MbqfeLDZ+rS4DNt3DJiAZhhAajCsKUFUg9rYMioJyfYlbmap6E6oXFW3GIYEsYvx4\nCuncrc2azfzAHFsjV63iF8bbKdotW9Z6++RvBRYLPqzU24B+HiwlRWyeIp/TF9ECaDGe427CkwEY\naPxZtJflzOM/WQWN15zgMFtALv5VDECHvwNpd1GsL6JgF3BsDrNlKdcAfayKxgceYEpWRMeOXBUN\nGsRShqXEV1bG3/++ffw8FizgSSQLqgDg4UUP450N4jkCyVHJyPp7FoJEFhG1tH6ntZ3ZJgAcmHLA\nZYu4o2AXkJdCzpafRdr0NLuOquFthmNij4m4+Xv7AbSfj/3cboyPLbm5vHGKMlSdOvGC5k47cWYm\ng4XnnnN4oroc2P8OcOSrWvsMD871oCiuprs+x2xvXbDmJn7fHBmxgat5L7nzTnaBOhIRwXKCO92f\n54Np0yAU1Tdq5Hrh4g3Xzr0W8/eJRx0ZFAOOPnwUKTEp3v+Awr3W0VxmEyUViQOYcQlzs/PIlroo\nKQIcZH3kf8DRuVa/s5BG9HpLHsZru6xruuQwsPwKsSF0aBL1r4kDacJqCKO4viwL2POiswA9/S1e\nZ39J4yLZlibDgCHOelWUn7bqrnJXARscUj02QRXAbOekScwKyejc2TpQubSUYvGMDHu90ZtvOs/n\n27qViYdVno2UPIc0qDKV8B525Et4dM2K6w50/ac1eWCuAX67VDwSLL4nP+cmgzmz1/JdU82coLLO\nQdcZ6EFV79691U8/3YwxY8RBT3Q0XV8vvthqqRAWxrZIi6XC7t3UyPz+O+e6TbSZlvHZZxTUaX2R\nXHEuqAKAXzsLxuAoTM02dbNP21xD3xlbczpzDbD2RnqR+IJtUGWuBlaNFftrWYjvSf+j4FpNS/kJ\nljRt7SPS7joXVC1ZIm5HVxR2LD3xhPtt+vv2abfH7jy9Exd9KI4knuj/BF4Z/orwOQsPLXzIyS/r\n7ZFv46G+D0newSAp8bVE1NhkDRtHNMapR09Jx+u8uuZVPPnbk3bbkiKTkFNqvRJ1S+qGjHsypM7U\njzwCvPWW8/akJJYo3e2AFXJmA7BmPC/ovuBOJ563FOyic7i73bVusmwZ7QVE9OrFMmCChrOKXGSN\nhwAAIABJREFUBZOJGjdZ96OvfPaZuPxhNDKoknVnesvPf/6Mq+eIyxgj00aeK2F7THEmb0KyeZZK\nEN3he7ymnXlxel8dBFX73wO2PcKgT0ZwLNDjVV4DHY/hjxHOXoiKEej+MtDhYfkM1SWXUNNrS/pb\nXDCvFRio9fmYEhFH1t4iN6S2HPt19mnan3+mNlQzk+0CUVBlYd8+3od//51dw6IssQWDgeW9oUOZ\nQOnXz+EFxZnM3GkMjXdJr/eA9vfLEwydnuTnJft+nVxKjzRbPAiq6s2nqnt3fhhvv00h7ZEj1ueK\ni2nZ//nnnu93zRrtgMpopK7nuuusVvV5eWzJXLGCehMnUm+hQaMdKrBqHL2xWt0iL5XUVABZ3wO7\nX+SqrY9Nx5PBCFw6l52KO57xLZV8bp9BwKXzgFXXAqeWiF9zdisfblBa6izWtnDLLeKVthau/Ea6\nNemGz8Z+htIqGoOcPNQIeze0QEFOJMqK2mJGJjNinSXGyWM7jnUKqmbvnK1p0rnj9A67gAoARrcf\nLQ2oAHbzvbvxXWQXWdNutgEVALw89GVpQJWdTQ8VEffd52NAlbMKWD7S2V4D4Gq82VXMQkW2srqU\nlx6hk7utrUhdE9eVw9Kz7I1fkT2fdh893wGCXbjzmWuAkwvpMZfGCGXIEOo6RM7qW7ZwsfbEEywH\nigKXM2coG3j/fa6k6yqoGjUKaNzY2QahpobGhG8KVAc+/bx2o3Bxs4tRUFEAQEWMYkaMYkalquD+\nnl4OTz7+CwMqx/l9tqjVXP2f+BXo/krdBemu2HgXS3auMBUCm+5m1u3SeVZvw+wfnAMqAOgyFejk\nYiahjApJ+1mUZD6mF4wZAwwcyMzo/PkQWhlpER+vXYru2JGP++8HaoqzcXzTrzDlH0BllYLCymYo\nD2qL0qihSEmNQLt2GoabVWeBP4a51qa5wlzJfe2Y6vxcbBdxQFVTBai1gbZZ4iPpJvWWqdq82aqp\nUlV2Z2Vk2I+pkfnKxMezo8wypmb8eIpyi4tZLrEN0GyZNImOyFpzf/btY7142TIbi/vKPGBRT2e7\nAguhiUDrCUDjfvQLMhVSM3VmDU9Cy8DotMn2QZUtZSeA7O95Q8lZKZ9ZaMEYwdRlq5vpJOwYAKgq\nhXl7X5G23WrS8VEg/XV8+aXVANMWg4G/H18cemWoKtt233lHPGYAYLr63/+mlYAt1eZqJL2WZFea\n8wYt7ZaFWdtm4c6fxG00g1oNwvIJy6Xv/e9/xTdrg4GiUIt+ymNUleXqs/YO9DCGcVi31nilhT3o\nC2RLXWaqAJZifrtMPGUgOI7BX7NRvBgGRTEArMyl5i9vA3D6N55fre8A+n5+7q35+bQg0DLODA/n\nIFuLqWF+Pq89e/dakyGJidpt174yf76zYSfApo733qPfmrvyIJcGjKYi4Ng8zlk8s9ZZzxmaSI1K\n437UiyZcot2JnLcR+G2AdtZHRPspDJhd/cf8mana/x6wxYvW8pjOwOClQEQzYPHFzOjbEhwHXH3E\nuVxYdtzeBzBvvXPgmf4Wb+QZTzj/3GGrxcOzvchUOXL4MDuiFy6kHrOgwOqWrij8DrVrx8XH4MG0\nVXE5P/VsBi1P8kRZCfB+1ewqygniuopfI5MDWIhqU+sxGcdzPn+LWOCf/gY76dcKBIt9PgHSBNfs\ndbdr664aQqbKFkWhFqePg4yirIzdWZb2zdBQrixlbdFffSUPqB56iFkxV3Ts6Jw5Q2gCMOBbXvzN\ngladylxgn2SCpbtENAPaP8BHZR5w4leoxYeQd+osSs6WoqImAkFhcQhPbINmnTpBadRTnmoG+Evt\n9Bh1VDnLgaxvgKz58hE5Sm2nZNJgpuprNS0i3RtAYXRdBFTZ2Qw2HN11HcnI4Aps3DgGKNHR3B5k\nCMKodqOE88zcJTwoHCPSRrh83R3d70BmfibKTfyClhdG4viuNig9G43LovpiwQIG/aKsk2g+H8Cy\nlNcBFcDVtWNABQBd/+XbvMq6IqY9MHw1sPJqZzGqqaD2e/uNx7tt1IiliNGjxX49AK8rlmG19cW4\ncSwDO2alqqtpZfHee+zq69+fouPYWKvr8/HjVp+qZct4s8wVeR6f3QHseRk4/qM4e2mhMpcTIXL+\nYGdyREug3f1A28l25rIAaB+z5kbPAyoA2P8uYCoG+n7m+Xu94ex2YNtj3r23aA/wx3Dgqt3iklR8\nulh/VV0KnFrsvN2RUMnJLstgdXwMaCXpbgAAxfXMmNapKu4bvxb3XTKPg6srz8BsjIA5+iIYm14G\nJWWceDSUjD2vADunan8Xasp4Hmd/D7SZxMAnONr6/Kll8oAqvifQ5R+UBTgG+Yv7APkCk7ZyyQU2\nup32/8UPBERQJSMiwjMj0DmSz6R1a/nUbhlOAUPCxcCgXxn9epP58YANGQmYNu12rFghNklt0oQG\njo88wrEZmhiMQPJQIHkoanq8j81/7MX+HWdQXXYWxSUKyk3RMAU3R3hiG3SODUH/NvYlkeho8W5L\nSvxv3XLqFG8enjQXzJ/PwG/BAmsG8pqO1/gUVA1PG46IYNdfPKPBiP8MfgkffcRAPCPDuoi2DCsy\nGIBLL2XXpG07v2zorisPLZfsFXzRg6LZTepIaRaw/Snrv2WZ2Lomuh3HlPw5HTg40ws9hQKEOVt7\ntGlD3eUjj/Dz8cTv5tye66DpzZE33mA24MknmSmzZdcuPtxBqBM78jWw8U7tYEpG2TFg+5NAUDiz\nS7ZsfRgoPez5Pi2Ihr/XFZsmixfD7mIZHSUKWFRJIBEUxQyrFlGt5WPTTvwi7tZulA5AMvbJHSrP\nAGtvdQr4DAAMZUeA0z8xc9bqJiD9TSDchUnan9PtryGuUGuAgx8DuWuAgT9aR1Edmyt+ffIIdtrL\n5DWypqUQye9VFqxaKk0yDCEABBo3AQEdVHnCiRMcpirippt8H/oIgMHJqD28oByb49yxoUV0O6DZ\nlZovOXmSden54gadc5w+jXM38rvuosGjrE5dXc0V+7ffAvPnG5GbK0m91hIUxDb+SZM4d6mvZMpI\ncTGtKq6/XvtY3aWigityb7o1t2+n98ldd/HfV7S9AqHGUFTW2F9IQ43OOWyT2WTnkA4AYzu45zW2\nfTvLMxs3yl9jNrM7ZtUqjob54guWqmV+SmfPMuPQurVbh+CMKCBJ6CNeTZsKtEsJ5xNDMNDpUT5K\nj3EFfWopV6FVBUB1EQCFGrCwJGZRYruwHJA8zGop4kBEBPDhhxxT8f33PA9WrnTdxNKsGXWX9wl0\nrnXBlVfysXIlFwiWuX/ujNYJCqLG8IorHJ7I+h5Ydwt8ngDhSOFuds81BI7/7CwQ95a4i5xnu+Zt\noi1IhEPXZEQzLsJdoapAdHvn8zbrWwqug7ywPpdRsBNYMUp75BkPiteFEwuA3h8AqZJJ5CcWUvTv\nDUV7gN8HAdcc5330+I/OrwmOA/p94Z21S9JlDIQcdcoHPgBaXuf8+uQhfGjyFwuqVqyQr0R9mU7v\nRFgi0H820PMtrrYsGijHYcYh8bzoNx7AFUviAM1l78GD1Hcc9mDxZzYzuNq8mQ9HFi9mcGQ7v84V\n1dUcPrx8Oevsd95JTdUXgnLzM8/Q4M3b0QS23HuvdnDiCVEhURjSeggWZi60275l8hZ0Sepit633\nzN52g6ENigGj27v2H9u4kdmFYslUCRHLl7OEs3gxb4BxceJOmenTxV2BbiFakQuCyYAmsiVF52n+\nG+ybnMwA6b77qJH6+WeW+PPzKUaPiGDJsFMnarG6uTBvrysGDuTDQlYWg/e8PMohKioof4iIYMa6\nRQtmq500L8WZwPo7IAyoDKEsBbe5E4i/iJlMUyH97TZMdH3T3fuaZwvK+mSftyeSgO4vAUv7w+53\naq5kE5ONns8jFAVod5/zLFhTEW0YLvqPZ/tTzWIdXFUhG6tcBlS2x1DAoLwsC+jsoPuqKqSdg6Mu\nzxNMtRfPM+vsO88ttJngnRUHQP1V+4ecZTk5fwBHZrP5rI64YIKqU6fE22Ni2MLpd8KSgLS/obzZ\n37BiBbB6RTn2bc/DmTwDqtRoxDSKRs+e7PAZ4OJ7ceAAL6Sy/4MrREMo//EPdnv40odgee9bbwGL\nFjnrNTIzqYN76y0GCVq2ClVVzJgtXcrMmi0rV3rX6anF2A5jnYKqhZkL7YKq0yWnsfWkfRdkv5R+\nSIrU/sB272ZWwZOAykJuLgOy9HSWBJ95xvk1n37KDJjMlE+T8ObOHXyFu8UX29iuwPUuOl20dHsN\nlKQk78d0nG9atHBv7IcTB953XugBQFwPZlAiHLp1jEnM+IU10b7xVubLSzWBRnGmc2ZJRGgiu7Rl\nc/csNO7LhgjHqRWH/8vyavdXOLNQi4pcZoBqShlMASw97XiGOixbdr9InVLXf2pPGqipYEZu3+s0\nghb5EG6YJBZ1u0RlCTiiuX0gsmeanTO5T2RLSjPJw33bb9epwNHZ1vKthXW3MRPeZhKz+KJFp9lE\nIXzOcmYN+2qI2B3wKahSFGU8OMejE4A+qqoK8iXnB61OwbrAbKZA+tlnLZmgcAD2KeDFi4GXX6Z9\nxD//KZ5HVFFBTy5vAyoRL7zAn6tFejpF1LGxVkPODRvEpoMJCcCPP9L92bGb6sABioFjYlg27NPH\n+jsvKeHr//yT+y4vZ6eVY1D1pL3dk1+4usPVuPfXe6HarCoXHFiAx/pbBauLMhfZPQ+4Lv2VlnIE\nQ36+78f40EPMSjkGxcXFLBV+9BG1c1qYzQxU58yh7xFSbwV2O6xuS4/ywtDSoVarKA0vi6XjGnM1\nDV8dCW1Mbz1JqdQtTvzCm7iMmI5AuweAxv0ZaOSuYhdypUhBX8ccl8zDspB6G9DlWTZLAOxg2/YY\ncFqjS6bnm7xJO9rVHJvHR1RbViWi23EETU05O9VKDrL8ZinztbrJGlSFxALdXgC2Per88/a+ys7F\n5qOB5ldz0aQYuc+ifUD+RuDkEu2A8FitQNwXbLVIVYUM2v1FzgrnbYYQzth1pDSL5qvn/q1R2gmO\n5ozeVf/HGcDnUBkYH/6cXdHx6dRgKQZmz8qzuTC1E967n53wNVO1C8C1ACQ+AecP2dTtCt8sJ4Sc\nPctAYu1a168FmL6/9lrghhuo77Atl734orM41RfWrGFQJcJgYJlt8mS5U/fq1XS0dxzn0a8f/x+v\nvkp/pUKH7uCiImpBFmh4joqQeoP5SNPopri4+cXYeNxaU1x9bDWKK4sRHUr1vWMmC6DPlRZTp8o7\nIj0lMpLDTa+/3nlAaU4Og/DmzYGrrqL3UlISs4dFRcwSZmQwcD9zxqaVvtMTQOaHzs0UGU8BCX1Z\nWnOX6jKfZ/Hp1AMnF4m7fNvd71tABdCXSkbCJcDli+31e4n9GWitcrE6qAtOaBxru/uoWbKVZMT3\noJWMVlAVEs/ANHMmOyodmztKMq0u7Z7Q8RGes3sEq+GaMmvQ5imqWezX5AtZ32kHcZGtgR6vAHHd\neMHK38zA2tGuxUKlYCUf04lBqSPmKuqx3CW6HTByM3BoFjN5jtm6mgqWH12huOluDR+DKlVV9wKA\ncj5aZFwgM0u0DM6NFHw+3pCbS+3Tdsn3Q4u5c6lBsrgo5+Y6Z20cMRgo4O5SW7U6epQO56KSH8Cx\nASIRrsHA4Zr/56KrfsAAPp56ir83W+LigJdeouHnihXMPm3caPU6kREcTCHtJZcwQLDFnbLftdcy\nS9aqFcX8CxdSJO8qWzS2w1i7oMpkNuG3Q79hXKdxqDHXYMlB+9Vmx8Yd0T5B3k555Ih8VI+3jB7N\ndvibbxbr6Y4fZ5A7c6bzc0KCo+kFs+VB++2lhzkXstPj9IuxHc1gwVzDFd3pZbxwRncA+grmvegE\nNoclIvIUQaq8ptJ+WkS1Rpeg2SS3CYjpCAxeAgTHOD+n1IPKxFTELJmI5OE0bfYWxUDvtrQ76ZV2\nZp31ISuJGUKo87H4gDW7yvk13V9iOWrjZP9l9o7/wkke/uTo1/LnWt4AXPyRfWAd24ll5eWS6SNV\nghZ3RwsPXzCG8PNqdw8zXXnrgNy1/LP8BMfi1JQza2+MAMKSgcgW9CiL78ExSx4sRs7bt11RlMkA\nJgNAy5YerJbdpJ3EfqK6mqJU2eBST6is5LgWbwIqER9+qJ1J696dJaBLLrHfXl3Nctwjj9iX4/bv\nFwvWAep3XAVUtsgcywHaLIweXWu8WXwAau5aFB3ejOrSU6iuNqDC3AjVwc1RGd0HUa36olmrGKGF\nQFWVdqejwQC8+65zB9bYsRxN9Le/sZtLxtgOY52GJC84sADjOo3D+uz1Tgahrkp/06dbTfJktG5t\nNaM9ccI6SklL29a3L72Upk9nCU/mq6SFnelj+ym8qeyYCru0tamA2o0dz1BHYilRVJcBVXlAySH7\nbploV34dOgGJaFpCZCsgvrvz9pJDwCI3W/TPrOX3SkT3l8UBVX2Rs0rim6QA3af552cYglnqSxwA\ngBKK3xeewZ6MIpQXl6CgQEGFKQwIiUdckwR066Zg8GCgq9ZUiZRrgKZXUvOTPZ/NUK4CrMhWnBXY\n6mZnH6ZDLhzkFQMz2GFJlAmczYBmqasiR65Ta3Uzm7g8RTRJxA2/La+IbMGHoxTCj7gMqhRF+Q2A\nKEx7RlVVQR+kGFVVZwKYCdBR3e0jdJOBA9kNI8rgzJnjn6Dq6afZ6uwPqqqAGTPkz996K2+womAk\nKIgB0siRLOVZBlo6luwsKAqtGvxKzkpqd04thQLAqWHfBKAMQG4wcGIM51g5WEosWuRcRrTl44/F\ns9EAasHmzaNW7d//Fr+mS1IXpMWn4eBZa8rXUvJbcMC5TqkVVJlMwJdfyo8VAO64g0Ggo7dXZiYz\niL9qdFiHhjLwffxx6uuWLWMwtmIFs3O2U97Dwpi169CBAdmwYXQ/tqPLM0CToUDGk0CuwGukMrd+\ndC46dY+onBLprUeHDQUSw6yYTgwGvMGbKofWeyyrF0cjWQuJAzj31E+UldG49ZtvgB07AKBx7UNO\nWhqv25MnSzqnjaFA86v4MNcwmC3JZEanuoTZlOBY+lzFdJLPU6wuFY/VsZDQFxjwjb0dRMFOZpQc\nhz9bOP2HuOMvKIq+Vt4QEgeUl9lvq5YE70FRrgOiaIFQ/zziMqhSVXXY+TgQXzEa6SsjKs8sWEDP\nl54+nEu7djGT4C9WrZIPuGzXjlksmUGkhagoDny1uDHL3KH79/eyg0iEqjLTIar9izCbasfvfM+0\nd/pbQGOm3kSz2SwMGSIPqCwoCvVjWmXAsR3G4s311pP9ePFx7Di9w0lPlRyVjEtSLnF8+zl++UXi\nVl3LrFn2Q71taduW2dI33uDMOVckJwM336LgZsFzpirVfc+1xn2BYSvo+5SzwvqQaT5C4lnGiU9n\nyju5QZz6Oo6I9C7+0MbJTFnrcNXvNSUHxNtbCDyKvOTHH4EpUzz31jt4kM05ISFcbGliMNJzKeky\nzw/w5BJ5U0HS5TTVdJytGdcNiGglD6oKJYF1yxtcG4XKCIl37tArOSx2lw5vwnm5AcwFY6kAALff\nLg6qTCbqchYudK9N/ehR7ufVV63bpk1zbRh41VUUHTdtyoxZRgazR6LgSUuc/eyz7mvAFAV4tLZp\nJFvSCX2ltueo+6hmjqbwYmwIAGoO1lwHjOVVaKvGTOeXXnJ/t++8wy5EEdd0vMYuqAI4sy/jVIbd\ntjHtx0iHHwNyt36AWVBZQGVBUYDHHmNGyhcJolcmtpEtgda38QFwBWsqsvrEGMPp7KyL0i8MguNY\nzrVFVrYLjnEdaETVlpRkQZW3Waq6pEhyrC4MmN3lxRd5nQ5oRIaaALM9/ee4HlYuonC3eHvrOzzf\nl4Wots77rczluC0/ZhXPF75aKowD8C6ARAC/KoqSoaqqRI1W9/TpQ/3NBx84P3f0KLVJt91GjxrH\nrFVZGbv5Pv+cOp0mTaxBVU4O07sykpJ4Y3csMd56K7U/775L3yjbDq8NG8T7atyYomVPMZvFdgiW\n4/ML25/xPqCyUJuer66WT0vv1MlZR6aF0ciZjSL6t+iPxhGNcabM2g33waYPPLZSkGnVjEZ+xu4y\nZYp2yfO8EBTJR7jzaBedC4CwROegqnAvS0mOg9cjmrME5A7FgpWLYqCgN9AQZaoMwUBkG593/dFH\nrgOqlBRew+LirJY1W7dSl3veOCNpT+/wsPdZJVFQpRiARi7nDMtJHiYOAE8ubpBBlcYIcteoqjpf\nVdUUVVVDVVVtUp8BlYXXX6cHk4jiYgZcvXpxLthll7HTrVMnanSGD2c5zfGL//HHcoFyQgJPFplm\ny2hkinfrVsBWny8Lqvr2dV32k+HPoe5O5G0G9r2q/ZrYrhRZJo8EIlM1X5qZKf+d+tMB32gwOjmk\nmxwErJHBkRjaZqh0H0VFcqf7UaPsP1d3iHUSoOno+JFa4bQdVXliPyB3MZucTWUBloq8GSNiQVWF\nD9Ws4vffVNxys4qmySoUiB8tW6iYfJeKP5ap1gtddTlQJhioG9nGOaj0kMxMNgjJGDnS6tb/7be0\nTJk3jwv2wkI25gw7H1V1s4klNBFtvJxUUFMhNhCNbOPbOJ1kyfD6Y3O4EGhg+BRUBSLh4TRDHO7C\njPXwYXoyrVkD7NunPcj2Rw05/vvv00vIFR07UkeVlsYTLkcy17FPH9f7EmEwSAaqQq7d8ohdz8tH\nUzQZCgxbA4zaCVy+ABi8CLj6MH1gJOzRsBrp7cOiR4SrLNTItiMRFhQmfX77dnlg6klHpY7OeaH1\nBPH2LI1WWVeUHBQLlOugQ3T9ek7BGDaM8gktY+SsLC56hwzhdWPbNtRm1AQnbIzvx/rYY/ZNI7Y8\n8wybb0aPFk+XCA2lme/SpXy0bevz4cgpOQiogptao94UuHtD0T7xdyC2i/M2gIFddTkfog4/CzHt\n2cHoSMEO5zEzWlSXMbtVz1xwQRXA4GLxYuC111hO84aIWnmJyWTp6nCmUyfPBgq3bAkMGkStlQxP\nyl6OtBJ8LwGKrH3ibAZwQtK61v0VYMhvNPlzJEyeYt4tKc0DVk8ufzEibQTCNVZSroIurc+rRw9v\nj0pHp45IvJQ6FUcOfcqMsydYOglLJI63ji38Fg7MANbdwcef7s/fmzqV1QOtRZeMLVtqO6HLjopf\nECU51oyngYU9+NjygHT/hYXU5YoYPRr4jwdj+oYNq7WkqSuKJNqKxv2832fpMfF2WVC1fiLwTQQf\nK8do77vtveLt2/8B7Po3vaRk1FQAB2cBv3aiyWc9c0EGVYBVGHzyJFcFd93lOsAKDuaKxzKkGGBA\nJauD33OPd6JjrW41p9Z4DxCNwQH4f8n0wuT3HNk/iLc3H+M8aNNNZEFVdLTn5TRXRARHYFgbcc7d\nqBhxVTuBEZ8NsqAqONjL+Xw6OnWNSDhsrmK7/PFfXWsCctcAK68Gtv6d/zZJHLRl2Z+cFcCR//Gh\n5VBuw5QpDExcNQS5xHGGngVZAFh6hG7fBdvlwSNYsZBJFh5/3LNDrHNkTQW+2A3Ifq+xftDUdXhY\nnK2CCux8DvixBbDtCeDkUiB/K60dDn3OoP2HFGDjnc7u9vXEBdX9JyIoiKuCYcOop1qzhqL1/Hxq\nrGyn03ftSpsCWzZtku/70ku9OybZIN6oKN9mFd50EwXxIt5+G3hPXo3TJkfgcwQAF73o5Q7l3Xoy\nwbmvTEqfhFJTKYJRg0aoQrxSBSNUJMW2Q4JR+wazS9JF3Lkz26J1dAKOtncDB2cCZQ79/lX5wMrR\nQFQaA6/G/ekTZCqiDilvPUsoFtuN1Fv5Z43Ead2FdtJdPvnE9fWpUSMuOhs1YtboyBFJRkt2rLZ+\nTF4gs4BJTmZ2LaCQZapEw5bdpUYSVIX4YcCuMRS4eCaw4kqxzMRUwFKgJ+XAeuKCD6psCQpi+c0T\nZEFVaCjQrZt3x1Ek6W72dZROaipP7tWrnZ97/33O+5s82b19rVvHFeOAflW80DoSkUJPEy+R/Q78\nXfoDANRU4prIGlzTOpYT4s02qcfSrcD3czmoNKEP28NTrrFzh5ZlFrsLDKp1dAKCsETgsh+A3y7j\n7DhHSg4yA+Auon0AtOPwkdxcbf+2tm2Bv/8dmDDBKsuwkJPD5qK33rLxi5IFVUa5btId9kuSP2PH\nUtMaUIg6NQFxpqqqwL5sViER4coyVX74DgAAmo4Aes8ANt0DTwYYBxqB9lUIOGSln27dvM9SyISO\njhcMb5g+XX5cd9/Noc6ysSmVlUxxjx5Nw9B9+8BhmKKLVOJA8Q+pyGHXSclh8VDXWhznClpo43vH\nsz1H5wI/NANWX8exD2ZJLbf8OJ9ffwcwvwmwecq5DiLZsdap0FRHx1ca9QSGr+HMOV+RzQT0MVAB\ngOef55B6EcOHU4Jx333i62NSEgOuzEwKxYOD6+5YZea/qak+7bZuqBKsBI0R4mxdZS6w7VHro1Si\nSZMGq34KqgCg7WTg8kWcv+cNIY38dyxe8pfKVHmDzPvJF+1TmOTc1poD6C7p6fTXkjn1zpvHR2oq\nXxsba/VRycgQaAZkK54kSVC18S7Oq3KBLLD01+BrqGZg8/1A5oeev7emAjjwHr1Txh5DiUQj6bdj\n1dGpK+J7ACO3AAc/Bo7Mpm7IXRL6AK1q/U1kN1SDb4GK2Syf35mSwufC3bhnh4TY6LH2yo411Ovj\nBOSyjYC8Dog+r6jWvjkPywZji7oMfaHpCHaSH/iQw5uLXHQtGELpddX2Xo72qWf0oMoFshPJl4xK\njGTuqOzm7SkPPcSLy5NPyq0ijhzhwyWmAvH2GN8U2rLsjzsXULfY9rh3AZUttRcL2bH6I7Ooo1Pn\nhMQBnR7no3A3g6uTi2vnP+bxRhsUzSxGTCeON0oebi/slt6MJTYrbrJxo9xeZupU+bVShtEIwCC7\n+fumgI+PF9s71LuZrwhRuTbICwd1u/dLokdZZtAXQhsDXZ/l4+x24OQijs6xzCsNjqV5RwztAAAX\nGElEQVSeL74HOxqDozV3dz7RgyoX1MXqxHHgroWSEt7A/bHyeeQR6qsmTAD27vVuH0YjAJPkihHk\n/Ze4uloe7MmyeB5xcol2G3dIAnVT4c0AmNnxc2opUHnG6aU1NVxNC3eji9R1GhjVkV2w7PRL+Pb7\nl7B6NTPxZ8/yOx4Tw+xQ1640Rh41ysamxShZQchmy7mJzO5FUYAxLrrwpcjKUT4ea2KiOKiSNbLU\nK9WCoMrXUq30OyApO1z8AZD+hnx/GmPB7IjvzkcDQQ+qNKiqok+VCF+yFMLJ5KDOacsWYKCksuYp\nffqwO2bbNo7Z+fZbededhehoYMQIjvK54goAOyU9xLLVoBuIjPEsaJmwus3m+yEUOoY1Abo+R3NE\nxzl3Wd8Dq52dPI1GBk+iVmpZCVNHJ9D44w/giy+omZQ1Xpw9y8fOncDXX3PbkCEcBN4j0sNApelI\nzpOUUZs1Wb5c/HR6OmeoeoWnQVWrG7Wbbmr317MnfzeO/PorpRt+WRD6C1H5z8dSrTRTJdNgBcfY\nNfz8VdCDKg20bv6+eKl07Sp/buNG/wVVFtLT+XjpJYo+167lhTU/n4FcTAy9obp04evshvYGS2aq\nVEtqleHNtV2Ww5KhKCzzlQvOe591ZfnbrO3gtoQkAENXeNVSHBmpB1U6DZPSUsoBPv3Uu/cvW0ZD\nzR6jJatIWUdYm4l8uEDmlj5UPjXKNbKMSrWk5ThlLB8uGD8e+O9/nbeXlNBJ/ZqAmistKtf62FEX\nIskGFAoizb8welClgdHIjJTo5inT2bhDhw7MVhUI5EqymYD+4qKL+HAbWVBVIRFCXCyYZi0gIkIc\nVIm2eUT2d+Lt6a977dESFSXuTpJ1LOnoBAJnzjA4kU2E8AhZ9ke0gPEAWSNQYqIPO5VNTyj27ViH\nD2djj0hD9dxzzOwHTLYqKAKocuh0ljUbuIvMOLRAD6ps0YMqF0RHi4Mqmc+SOygKuweXLnV+br3A\nEqpeCUsSb89d5dbqTkZkpPiCKrvIuk2WIKgKjrGaGHqBoyGshYDUUujogBnom27SDqguuoiayz59\nGCwUFwPHj3Nh9/PPwJ+2/pHBkiyFzGTSTeqkCUTWVu/jsYaEADffDMyY4fzczp3AddcBc+e61sRW\nVLCk2qQJ8Le/+XRIcowRABxWfbLyZ0gC0OVZ7f017gtEtuAi21FnW7ibXzhfOgsvIPSgygXR0cDp\n087bfb2h9ukjDqqys1mjv6r+O0NJgmQYYc5yn3Yru2h6M/PrHIV7OPTTkaTBYg1YdTmg1ormNFZx\nKSlisf92D7rTdXTOJ2+/Dfz2m/i51q05qLhvX/Hz113HuamrVjEDAwCIlpiyFfsWqMTFif2fZA1C\nbiGaewj4fKwAJRQ//cTg05FffwXatwcmTWKwZDuL1WQCtm4FfvgBmDWLHY9vuT8S0XNEmUWTJBMQ\n2gi46N/u7Te2C3Bmrf226hI2+0SneXaMFyi6+acLmjcXb9/s4VxSR7QGJ7/wgmeaLZ8HJmsR3lQ8\nM+tsBlDlfS+xTITqU1CVL/lQmo4Ub197E/BtLB/r5JksmXN6Vpb2HEcdnfrAbGYmRERyMkd1yQIq\nWy67jAL3228H57KJfJ58zP40kiSVsrLE290iIkUcVMjm4XlAXBwF/7LO3xMn6JfVpg3QogVNolu1\nom61b19g2jS5hYRfcWzEAYDSw4DZx06gWIkg+ERd3oQaFnpQ5YLevcXbMzPFmih3ufxyuQfLxo3A\nv/7leh+qyhP4vvu8Pw63SBLM9lFraJDpJZ0lMziPHPFBV1UpiXBkU9TdpEcP+XNeZ6sURfvhzft0\ndACsXCnOpADAK6943lUXGwu2v0cJMhGVuUCV9+JC2fD0RYu83iXPBVG2quosUCGxRfeAwYOB+fPl\nsgCAgW12Nisax475x9jZI0IbCw6qSnNgtFvIrqUHP/ZsP9Wl8sxZA0cPqlyg5ZzuS7YqOpppYhn/\n/jfT8CdOiJ/fu5eB2dSprgfO+0zSYPH2PS8DZ91UwdZUAhlPA+Vs95EFVWaz975aMEku7jKxvZto\nBVV13Vigo+MpX30l3h4eDlx7rQ87jpF09eZv9XqXIyVJ5EOHfLgOABrHusWHnVoZNYpWNVde6f0+\n6lTULhOVF/nySwUQny7eXrgbOCRojRRhKgL+GAmUS25uDRw9qHKBLFMFAEuW+LbvKVO0B3F+9x3Q\nsSNnWn31FR/TpjEt36ULV6TnhRbX1hplOlBdCqy4Ajj2jXiyOACYa4AjXwGLegB7p51zNdYanOx1\nCVCReGD46KTcsaP8AvjZZz7tWkfH76xbJ94+Zox2dsUlUQIZAAAcm+f1LkePlj/3zTde71Zu65Ll\ny07tadsWWLCA2tjJk6m9dEVcHBsIli8H7rnHb4fijKzTWaQ59YTES+Vz+bY96jpoLdwD/DYQOLPG\nt+MIYHShugvS0lj3F2lnPv6YQk5PLlRmszWQatMGmDhR20OmuJjiyHrFGAZ0fhrYMsX5ufKTwJrr\ngZjOQPspLBEoCrefWQOc+BUoy3Z6myxTBTD1f6s3zXqyrp8qSZ220+PW2WYianUZRiO9xUSZyf37\ngYUL3V+xlpYyaPRhdKSOjiaixhpAO+PqFrLsT9Z3QM+35VYGjpzNoBFveFN06MDgJFPgdvDqq8At\nt/Aa7C65ubV2DCIdKECT317T5UaWjuRvYRARIRHXAhg2jA+A3Zbr19POIj+fZsaxsSxzXnQRfQCD\nzsddV5qp8jGoUgxAyxuA/e84P1eVByztB3T9J9DpKcBgs8gtPw1kzgD2TJMPtb9A0IMqN+jTR1zj\nLyigqPzVV93bz/z51AvdfLN12yuv8KYsK/MFDGmTgYOfyAeyFu0BNt/r9u4SE/kQdf7Mn09DPY9X\n1SESB+f8TUDyEMFBXOr2rgcNkpd7H3yQF1NXcwvLy5ktuOEGPajSqTtk/mmxvlXBgThJVFaVB/z5\nNtDladf7KDkELL8SGLbq3KaJE5mNd6S0lNMdlixxHVgdPEht6VVX8XyUHqupANj3JtB1qutjLT4I\nLB8FDF/t+rW1eOwDWFfEdBRvz/VDeSP1FnFQBQBmE7DjWc6XbNQbMITQy+zMWj73F8Cn8p+iKK8p\nirJPUZQdiqLMVxRFYmbSsLntNvlzb7zhOk2tqsC779KR11GwmJBAbxO/DRKuK4whwIBvxAJIL5GV\nAMvKgE8+cX8/e/fWTrpPkIQqJxd6fGyOTJggfy4zk27KsgwBwIv+oEHspgLAL4W/Hzo6kAdPPtkU\nAECjXvLSz95prvWV+VuBZUOACnsb9UcfZbZKxKFDQKdOvAZnZNg/V1REP60bb6Shsp0cI76HWLIA\nAHtfZbZM81i38Vgrz0erXh0Q2VI866/kEHBGUh+W4SjtSLgYSHDRPlq0FzjyBXDoUyBnxV8moAJ8\n11QtBdBVVdWLAOwH4MZSpeFx3XU0ahNhNgPXX88TW9Qqu3YtXY0ffFBukzBgADNhnk5kt3DeBvtG\ntwOG/CHuAvKCwRL9O8AMoDt2BTk5XJ2ePQt66US1cX5R7hqfO026dnWtr+vWzdneIjubzQTp6cCm\nTT4dgo6OWyRJ/Hp9En4DLOs3l4igTEXAssuBM4LODXMNcOAD4LdLhXPiQkOBmTPlZTGTCfjyS55D\ncXGUTSQk8O9XX81FqdO1VVGAZpJjrS4Bfh8MnBE4LatmIPMjHmvZMfH7GwKKQa4r2/+++/spPw3s\nErSiX/Sid8f1F8CnoEpV1SWqqlqML9YDcEOq1/AICaEQUYu5c7miuvZa4IEHGIi1bQtceqlNdkKD\ngQMpXtTSGokYNEhu8lcnxHUFRm4GWt3s/pRxgOnoS+fZrR5vuEH+8rNngXHjtJ3rd+8G+vcHDh+2\n2ZgsaCdSq4E9r7h/rBJcuR/n5rK8l5TE4avJyfSq+c9//JAl0NFxk169xNvnz/dDa3/zq+XPVZ1l\nYLXmJnaCHZkNbHkQ+DmVQ85ljt7gAmvmTO3GHYAjYg4fts4t1T7WMfLnTAXMRK29FTj8BXB0DrDl\nYeCn1sCme3wf6RIIJA4Qbz/6FZDnxgqvMg9YPgIoEvh7JQ8BWt3i2/FdoPiz+28SAGmdRVGUyYqi\nbFYUZXOuSEgT4DzyiOt5VPn5vHC9/z479w4e9OxnpKdTmzNrFp15ZSgKOwB/+okBW+vWnv0cnwmJ\nA/rPBq7aD3T4u7V2boshGIjvSfH6sFXAqD1Ay/F2fkodOsiNNQF2N15+uUPQBGrZ3nkH6NdP8DuW\njc7Z+ypFqu5QcghYeTVQZm/2M2GCvUuyjNxctltrlQN1dOqKmyS9F0VFdP32ieThcu0iwMDp2Bxg\nwwQa6u5/V9ioImLiRDqOyzJtHpM8TN68AjBwOjobWH87jYD3v9Ows1OOpIyTPKECq68FCjVSl3kb\ngUU9gQKNkm6fj3jt17HDpVBdUZTfAIgK6c+oqvpj7WueAVANYLZsP6qqzgQwEwB69+7d4AQgcXHA\n9OnyC5a/MBp5cZk4keL11avZYVZezi7Eli0ZaPg0cNRfRKcBPd/k32uqqJUwV9EXKiRePBrGgRtv\n1DbQ3LaNItVLLuH//eRJtoxXy4yBm46kWWnOCvvtajW7FFveCHR4yFl/VVPFbsXMmRzKbDYBve2H\nQ4eGUkN33XUu/1s6OvXGiBFA48bsQHPkySfZqeaJaL262qY0ZwwD0u6ihqoOGDOGGejHHwe+/hqo\ndLNRLDSUmeTx4202GsOANncC+16rk2MNeJIu58xGk6D7uSwb+G0A0OcTlnQNwdyevw04/F926pmr\ntPcfFAkM/IUdf6WHtV/rSPsH/SYjCTQU1UeBq6IoEwDcDWCoqqqC0cPO9O7dW93s65yXemLKFOA9\n743E8emn2qaffzVyc4HUVPHQak+YORO4667af+RvA5Zeoi2OjO3K0RuKAag4zUnrjin/sVkceeHA\nbbdR4+EtH34I3H239+/X0XHFc8/RQFhEz57MpKemau/j8GHup29f4P77bZ4oPw380pbaJG8ZfUA+\nT7CW/HyeZ8uX05n84EFqWAGWCVNTWeq88kpKBeJEbVLlJ4Gf2wI1PlxgRu+XWzQEOutup2Bci+A4\nCtsrcpyaCABwIXrp1/L3V+YDWx92/XMAIKYT0OMV7dJsgKIoyhZVVV2m5nyyVFAU5QoATwAY5G5A\n1dCZPp0n9PTp3r3fWzH6hUpiIk3w3nzTjzttlA70eg/YpBG5FO7iwws+/ZTB4OLF3h2ePlFGp66Z\nOpVWLaK169at1HuOHMmM+MUXM3NVXMzs+IYN7Kr7/Xfqlvr0cdhBeBOg8z+AHf+o0/9Do0Zs8Hnw\nQf7bZOIxGo28jrp1HoU3pR+dSGz9V6DtPa6DHVOBbzPXQhsB/f4HtJ4AHPsaOLEQKLeRToQkAE1H\nACnX0kjaEy1uA8RXn6r3AIQCWKrwG75eVdW69ImtdxSFep6mTbkSdDfDEhcHzJihl45ETJ3KIaV+\nldq1nQwoQTQs9WWVKiAkBPj+e3YdLl/u2XtvvpmGhjo6dUlwMK1eBg3i7DlHamroBr5ggZc/oPOT\nwOllwOnz1yUTHCwfwKxJl2eBU79d0C7eUhL7A4mXAbmrXL/WV5KHWP0AK3J53Q1NFA93voDxtfuv\nraqqLVRV7VH7uKADKlueeopapwkTgEgNc97ERKbQDx6kfkjHmbg4ivNddf54TNok4IqtQJMhADxI\nD4U1AS76DxAqV8xGRHAl/+677mUfU1KAzz8HZs/W/r7o6PiL1FQOZ7/iijrYuWIA+n8FhMudxqW0\nf1BsfVJXGIKAS+d657GXehsQmer3Qzqv9HgNHl3//EFYIuUVf7GACvCDpsobGrKmSkR1NdPs69Yx\n2xISwnb6Xr348HuwcIHyxhvAY495997vvnMxLLYsmzPKjn3DUQ224s2gaE5fb9Sbos2kwTQ7dZPT\np5kVWLKEmaviYmY0GzemHmXcODY41OkAVR0dCarKTPCXX7JbWNrkIaBDBxrxDpB056PkMBtA8t24\nngdF8Qbfrp7W3gW7gNXXAcV/un6tIRjo8hzQ9dm6P67zwfZ/AHte9u69rjRVfxHc1VTpQZVOQPHo\no57pq4xGlmPthLTuUFMFVBczoPIggHKH8nJ2SwUH+3W3Ojo+k59P24Jvv2VnsaN/Wnw8Jx0MHAiM\nGkWfPZfUVAE7pwKHZgGVgpbDoGig1Y1At39R41SfmIqBLQ/Rq0k0g04JApqNAnq8Kh9K3BBRzcDy\nK4BTSz18o8JZie0fqJPDakjoQZVOg+WXX9ge7crnqXNn4IMPqBvR0dHxHJOJRrs1NSxj+1SaNlcD\np/8A8jcC1WVAeDLb5psMEY9MqU9MRcDxn+mqXlPG8TvRbdmV5sdRXAFFZT6wZjy1cO5gjAD6fga0\nvL5uj6uBoAdVOg2a/HxgzhyrwWlVrWVKeDhX0bfcwpLaeZn4rqOjo3MhoJpZBtz1gtyHSjEArW4F\nur8ERHihmbtA0YMqnQuGqiogL49atQQNM2cdHR0dHTeoKmSm7sQv1Jsaw9h00LgfndjDJcNu/8IE\ndFClKEouAOfJms40BiAo0usEKPrn1XDQP6uGhf55NRz0z6ph4e7n1UpVVZezTOolqHIXRVE2uxMZ\n6gQG+ufVcNA/q4aF/nk1HPTPqmHh789Lb/bX0dHR0dHR0fEDelClo6Ojo6Ojo+MHAj2omlnfB6Dj\nEfrn1XDQP6uGhf55NRz0z6ph4dfPK6A1VTo6Ojo6Ojo6DYVAz1Tp6Ojo6Ojo6DQI9KBKR0dHR0dH\nR8cPBGxQpSjKFYqi/KkoSqaiKE/V9/HoyFEU5YiiKDsVRclQFEV3dQ0wFEWZpShKjqIou2y2NVIU\nZamiKAdq/4yvz2PUIZLP6nlFUY7Xnl8ZiqKMqs9j1LGiKEoLRVH+UBRlj6IouxVFeah2u35+BRga\nn5Vfz6+A1FQpimIEsB/AcADZADYBuElV1T31emA6QhRFOQKgt6qquuFdAKIoykAAJQD+p6pq19pt\nrwLIV1V1Wu2iJV5V1Sfr8zh1pJ/V8wBKVFV9vT6PTccZRVGaAmiqqupWRVGiAWwBcA2ACdDPr4BC\n47O6Hn48vwI1U9UHQKaqqodUVa0CMAfA2Ho+Jh2dBomqqisB5DtsHgvgv7V//y94cdGpZySflU6A\noqrqSVVVt9b+vRjAXgDNoZ9fAYfGZ+VXAjWoag4gy+bf2aiD/7yO31ABLFEUZYuiKJPr+2B03KKJ\nqqona/9+CoA+7CuweUBRlB215UG9lBSAKIqSCiAdwAbo51dA4/BZAX48vwI1qNJpWAxQVbUngCsB\n3F9bwtBpIKjUAASeDkDHwgwAaQB6ADgJ4I36PRwdRxRFiQLwHYCHVVUtsn1OP78CC8Fn5dfzK1CD\nquMAWtj8O6V2m04Aoqrq8do/cwDMB8u3OoHN6VqNgUVrkFPPx6MjQVXV06qq1qiqagbwMfTzK6BQ\nFCUYvEnPVlX1+9rN+vkVgIg+K3+fX4EaVG0C0E5RlNaKooQAuBHAT/V8TDoCFEWJrBX9QVGUSAAj\nAOzSfpdOAPATgDtq/34HgB/r8Vh0NLDcnGsZB/38ChgURVEAfApgr6qqb9o8pZ9fAYbss/L3+RWQ\n3X8AUNvW+DYAI4BZqqq+WM+HpCNAUZQ2YHYKAIIAfKV/VoGFoihfA7gcQGMApwH8E8APAOYBaAng\nKIDrVVXVBdL1jOSzuhwsTagAjgC420avo1OPKIoyAMAqADsBmGs3/wPU6ujnVwCh8VndBD+eXwEb\nVOno6Ojo6OjoNCQCtfyno6Ojo6Ojo9Og0IMqHR0dHR0dHR0/oAdVOjo6Ojo6Ojp+QA+qdHR0dHR0\ndHT8gB5U6ejo6Ojo6Oj4AT2o0tHR0dHR0dHxA3pQpaOjo6Ojo6PjB/4fyZBa2ZfkD2IAAAAASUVO\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115da1490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "weight_mat_centered = lm.transform_matrix(weight_mat, center_values=True)\n",
    "lm.Logo(weight_mat_centered)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Normalize transformation\n",
    "\n",
    "The normalize transformation divides each row by the sum of the row. This is needed for probability\n",
    "matrices. To do this, set normalize_values=True."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<logomaker.src.Logo.Logo instance at 0x114ca93f8>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAACrCAYAAACkNtLxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngw8++FBP+H/AOT/nGzeW7gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115d80d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "normalized_mat = lm.transform_matrix(counts_mat,normalize_values=True)\n",
    "lm.Logo(normalized_mat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# References"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='weblogo1990'></a>\n",
    "Schneider,T.D. and Stephens,R.M. (1990) Nucleic Acids Res., 18, 6097-6100."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
